The main purpose of finding coefficient of variance (often abbreviated as CV) is used to study of quality assurance by measuring the dispersion of the population data of a probability or frequency distribution, or by determining the content or quality of the. Was looking for train tickets to travel frm tvm to blr on wed or thurs. cnf" symlinks to. 16 NewThe probability calculator finds the probability of two independent events A and B occurring together. 016629093 $$ $$ P(4) = 0. First, we select "mean score" from the dropdown box in the T Distribution Calculator. Each clause connected by a conjunction, or AND, must be either a literal or contain a disjunction, or OR operator. 20% CNF and 0. Show that you can always choose the truth-value of the variables such that ϕ is true. Quick Menu Train Route Running Status Get PNR Status Check PNR Status and get instant confirmation chances of your waitlist tickets in Indian Railways. CNF Converting to CNF Correctness Procedure to convert a CFG to CNF Main problem is unit" productions of the form A !B and -productions of the form B ! . The algorithm is based on the principle that the solution to problem [i, j] can. 435 907 155 solved problems. The probability is plotted versus the value of Ca/Si ratio for both samples and it clearly shows the CNF sample has a high probability for low Ca/Si ratio with a peak at 2. 3256 for 20-sided dice. Population Size: Leave blank if unlimited population size. 6931; σ = sqrt(ln(0. CNF is useful for automated theorem proving. 2-SAT. The probability mass function, f (x) = P (X = x), of a. The formula to determine the number of possible combinations is as follows: $$ C (n,r) = frac {n!} {r! (n-r)!} $$. We note that a. In the prior step, we calculated the equity value, so we now just need the remaining assumptions to calculate the enterprise value of each company. CNF in IRCTC is a short of form of Confirm. P - transition matrix, contains the probabilities to move from state i to state j in one step (p i,j) for every combination i, j. e. Capital Structure Assumptions. american odds of . – ∨¬ ∧ ¬ ∧ ∨ is a CNF –(∨¬∨) is a CNF. to give you most accurate seat prediction. Unit 3 Summarizing quantitative data. With our same train alternates and prediction feature, increase your chances of getting confirm IRCTC train tickets and easily check and get. –So if all premises are CNF and the negation of the conclusion is a CNF, then AND of premises AND NOT conclusion is a CNF. Aromatic hydrocarbons, such as toluene, have a high probability. This calculator finds Poisson probabilities associated with a provided Poisson mean and a value for a random variable. "/etc/mysql/my. 2%, the probability of. disjunction of terms, where a term is a conjunction of literals. The probability of confirmation is displayed in form of xx% Deal with mathematic questions Math can be difficult, but with a little practice, it can be easy!. If we consider all possible CNF rules: O(m3n3) Slide based on “Foundations of Statistical Natural Language Processing”by Christopher Manning and HinrichSchütze. Set theory studies the properties of sets, such as cardinality (the number of elements in a set) and operations that can be performed on sets, such as union, intersection, and complement. Click on the "Reset" to clear the results and enter new values. Why CNF? • Input-related reason – Can transform from circuit to CNF in linear time & space (HOW?) • Solver-related: Most SAT solver variants can exploit CNF – Easy to detect a conflict – Easy to remember partial assignments that don’t work (just add ‘conflict’ clauses) – Other “ease of representation” points? The meaning of CNF in Train or IRCTC Railway Ticket is Confirmed Seat. Broder* Alan M. Simplify boolean expressions step by step. Step 4: Write the Product of sums. When dealing with random k-CNF formulas1 we say a sequence of random events En occurs with high probability (w. Such clauses can be written in the form L !M for literals L and M. . Our Central Limit Theorem Calculator provides an interactive way to understand and visualize the Central Limit Theorem in action. this video is about how IRCTC railway website confirm Probability chances for Waiting List PassengerMy Gears Camera Light SIMPEX LED 4. When a tourist books a ticket, their reservation status may see as “CNF” if their booking has been confirmed and they have since assigned a seat or berth on to train. Systems of Equations Calculator, Elimination. Then, select the community cards, which are the cards dealt to the table and are available to all players. Event: Each possible outcome of a variable is called an event. p. Using the table above we can see the odds are 4/36, 3/36, 2/36, and 1/36 respectively. presents all decision alternatives first. Follow the steps given below to convert CFG to CNF −. Quick Normal CDF Calculator. Take the resulting terms as CNF clauses. 75. A: The probability percentage is calculated based on the internal data and analysis. Standard form. KDA Calculator. (The latter terminology is. The conjunctive normal form states that a formula is in CNF if it is a conjunction of one or more than one clause, where each clause is a disjunction of literals. • People who do not have confirmed tickets can check for the probability of confirmation by clicking on ‘CNF Probability’ and it will be displayed in terms of per centage. If you get a CNF in a train ticket, it means that you have been allocated a seat and can travel on the reserved date. We can find the probability of an uncertain event by using the below formula. That’s why we created ProfitFarmers – an all-in-one platform that does most of the research, planning, and execution for you. hmmmm hmmmm. , negation) can be optionally applied only at the leaves • leaf level nodes are variables (with/without negation) Step 1: After making the k-map as before, enter the 0’s as maxterms. Example : (P ∨ ~ Q ∨ ~ R) ∧ (P ∨ ~ Q ∨ R) ∧ (~ P ∨ ~ Q ∨ ~ R) The maxterm consists of disjunctions in. P—wWe would like to show you a description here but the site won’t allow us. Perform Boolean algebra by computing various properties and forms and generating. For example: The expression (X + Y' + Z. In case of the waitlisted option, the user gets the option of checking the changes of confirmation in the form of a button, called "CNF Probability". . p. Choose a distribution. Coefficient of Variation Calculator. Calculate the probability of an event applying the Bayes Rule. Using the formulas above, we can calculate: μ = ln(2) = 0. CNFs were dispersed in deionized water via overnight sonication. Increase your chance of getting a Confirm train ticket with our best-in-market same-train alternates and prediction feature. Markov chain formula. 33%, and of losing 1/6 = 16. Big Stories. First ,break the odds into 2 separate events: the odds of drawing a white marble (11) and the odds of drawing a marble of a different color (9). More Calculators Logit Evaluation Calculator. Internet connection. CNF is useful for automated theorem proving. How to type. A spread bet in football is normally offered at -110 on both sides of the bet. Boolean algebra is the study of truth values (true or false) and how many of these values can be related under certain constraints. 73497. Uffe J. 7 8 9 x x 2. A phone, laptop or any other device with a web browser. Simple to use Truth Table Generator for any given logical formula. Simply click Done to confirm the adjustments. n (A) stands for the number of ways an event can happen. 2. F = (A + D’) (C’ + D’) (B + D’) (B’ + C + D) Karnaugh Map Solver finds the Sum of products and product of sums with. IRCTC's "CNF Probability" service allow users holding bookings with a “waiting” or “wait-listed” status to access information determining their chances of receiving a confirmation or reservation against cancellation (RAC) while booking train tickets through IRCTC. In case the given grammar is not present in CNF, first convert it into CNF. We just need to calculate the likelihood in the new time period of observation and multiply it. Yeah, it is kind of obvious. when passenger get waiting ticket there is a big problem is waiting ticket confirm or not. The Naive forecasting method of forecasting is one the easiest of all methods. Enter the total number of objects (n) and the number of elements taken at a time (r) 3. Published by Zach. The resulting values are: P1 = 0. From there, you use our tools to optimize each plan and our automations execute. with probability 1 – For m/n > c*, as n , problem is unsatisfiable with probability 1 • Conjecture proved true for k=2 and c*=1 • For k=3, current status is that c* is in the range 3. Remove the routine and produce paperwork on the web!Instructions: This Normal Probability Calculator will compute normal distribution probabilities using the form below, and it also can be used as a normal distribution graph generator. 5. Implied odds are the conversion of a sportsbooks offered odds into an implied win probability. A literal is a Boolean variable or the negation of a Boolean variable Hence a CNF is of the form − 1≤i≤s 1≤j≤t j ‘ i;j‘ where the ‘ i;j. From: Mathematics for Electrical Engineering and. 338. How does CNF probability work? People who do not have confirmed tickets can check for the probability of confirmation by clicking on ‘CNF Probability’ and it will be displayed in terms of per centage. Example: ! (A & B) = !A v !B. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Unit 6 Study design. You don’t have to worry and you can travel on your reservation date. A matrix representation of a 3-CNF formula A. The sum of the probabilities in this table will always be 1. Conclusion. 74 in MCNF, considering the chemical modification of nano-cellulose. CFG into GNF Conversion Steps. Rail enquiry services with train schedule and running status on Trainman helps passenger in planning railway journey. Use symbolic logic and logic algebra. e. a. formulas in conjunctive normal form (CNF). A literal is a Boolean variable or the negation of a Boolean variable Hence a CNF is of the form − 1≤i≤s 1≤j≤t j ‘ i;j‘ where the ‘ i;j. . If you find this affair of calculating the probabilities of two events confounding, scroll down. Step 1: Eliminate start symbol from the RHS. You want to calculate the probability density function and cumulative distribution function for a given value of the random variable x = 3. Probability Theory. Normal Distribution Calculator. If your train ticket status is CNF then it is meaning is you have got a confirmed ticket. It is 86%, as you mention in the post yourself. Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!WL 5/CNF; PNR status and seat availability. My attempt was to express this problem as a bipartite graph and then use Hall's theorem. To convert a Boolean expression into a simplified CNF, you could use bc2cnf. The z-score can be calculated by subtracting the population mean from the raw score, or data point in question (a test score, height, age, etc. Left. Then we will subtract the smaller value from the larger value: 0. 5 and n = 4) would be:This calculator will convert "odds of winning" an event into a probability percentage chance of success. Any context-free grammar that does not generate the empty string can be represented in CNF using only production rules of the. The dynamic programming algorithm requires the context-free grammar to be rendered into Chomsky normal form (CNF), because it tests for possibilities to split the current sequence into two smaller sequences. The so-called Bayes Rule or Bayes Formula is useful when. An alternative way to compute the variance is. Increase your chance of getting a Confirm train ticket with our best-in-market same-train alternates and prediction feature. 6. The cumulative probability distribution is given below. 69, but it is 0. CNF Refresh. Furthermore, we will introduce an algorithm that speeds up the standard solution for (CNF-SAT) in some cases. ∧ T j with arbitrary length j ∈ N. The confirmation probability of RLWL tickets remains low. THROUGH CALL: You can also call 139 to get your PNR Status. 80€); hence the Paypal donation link. standard normal cdf calculator. below found in /etc/mysql/mariadb. Your IRCTC PNR status will be checked immediately, and you will be able to. μ = 0 μ = 0 σ = 1. 16 New The probability calculator finds the probability of two independent events A and B occurring together. . Cellulose nanofiber (CNF) nanopapers from garlic skin prepared by vacuum filtration were soaked in various concentrations of polyimide (PI) solution (0–15% w/v). find area under standard normal curve . Indian Railways PNR Status Enquiry displays you the exact journey details with 100% accurate PNR prediction probability. vector, calculate perfect disjunctive and perfect conjunctive normal forms, find function representation in the form of the Zhegalkin polynomial, build an K-Map (Karnaugh Map), and classify to function by classes the Post (Post Emil Leon). That is, the CNF should assign the same total probability to each parse tree as the original grammar. 0. This Z-test calculator is a tool that helps you perform a one-sample Z-test on the population's mean. b. Normal distribution. This calculator finds the area under the normal distribution curve for a specified upper and lower bound. Calculator with step by step explanations for descriptive statistics including mean, mode, median, lower and upper quartile and interquartile range. Normally, a confirmation chance of above 65% (green color) implies high chances of ticket confirmation. en. Weibull Distribution Definition. On the other hand, when you use the Poisson calculator to find out cumulative probability, you're looking at a certain area below the function. 5%. Use this binomial probability calculator to easily calculate binomial cumulative distribution function and probability mass given the probability on a single trial, the number of trials and events. Probability Distribution Function. 4892, which is almost fifty percent - nearly analogical to tossing a fair coin. Miscellaneous Calculators. The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distributions are unknown. Just consider the most prominent operator of the formula, and work your way to the bottom recursively. P (¬A) + P (A) = 1. For example, if the chance of A happening is 50%, and the same for B, what are the chances of both happening, only one happening, at least one happening, or neither happening, and so on. మీరు రైలు. And it can be MUCH easier to reduce from 3SAT instead of SAT, since 3SAT has a lot more structure: it's a normal form, you already know the form it has. Therefore, we plug those numbers into the Binomial Calculator and hit the Calculate button. Introductory Probability Theory (New York: Marcel Dekker, 1984), p. For math, science, nutrition, history. -CNF k-DNF and -CNF are O(nk) Training on O( nk) examples with O( nk) features takes O( n2k) time 23 Enlarging the Hypothesis Space to Make Training Computation Tractable • However, the language k-CNF is a superset of the language k-term-DNF since any k-term-DNF formula can be rewritten as a k-CNF formula by distributing AND over OR. "/etc/mysql/my. All rights reserved. But normal probability calculations can be performed quickly with the help of calculator once you know how to use it. Statistics and probability. To understand the PCNF, we have to learn about the CNF (Conjunction normal form) and maxterms. In certain conditions, there are chances that the tickets are not confirmed despite the. The calculator reports that the cumulative probability is 0. It implies that the passenger has a confirmed seat on the train. we can calculate the probability that a u. See that 97. Abbrevations in PNR Status: Few abbrevations related to booking such. One corollary of our findings is that for all fixed Δ and k ≥ 2, Max-k -SAT is solvable in O (c n ) expected time for some c < 2, partially resolving a long-standing open problem in improved. Among three different CNFs, BU-CNF had the least damage on drainage efficiency and BU-CNF2 only increased the W300 by 15. Mathematically: n n. Probability Mass Function : The probability distribution of a Discrete Random Variable is called as Probability Mass Function or PMF. Correlation and Regression. To calculate the odds of rolling 9 or more we need to use the dice probability formula above and compute the probabilities for all possible outcomes of throwing the two dice: 9, 10, 11, and 12, then sum them up. 4055;Calculate the results: Once you have entered all the values and probabilities, click on the "Calculate" button. K-CNF A random k-CNF formula with n variables and c clauses has a threshold c = r k n such that if, c / n < r k the formula almost surely is satisfiable and if c / n > r k almost surely it is not. 193. We study the complexity of the problem SAT-PROB = { is a CNF formula | Pr [] > p} for fixed and . It enables you to set a population mean, population standard deviation, sample size, and the number of samples. For instance, it showed a 95 per cent probability of confirmation for the train ticket when general waiting list was three. s. Our normal distribution calculator will display two values: the probability of a person being taller than 185 cm (P (x > X) P(x > X) P (x > X)) and shorter than 185 cm (P (x < X) P(x < X. 1. The size of a CNF is the number of clauses (the parameter s in (1)), and cnfsize(f ) is the minimum number of clauses in a CNF for f. . 159. CNF: A formula is said to be in Conjunctive Normal Form (CNF) if it consists of AND's of several clause. This paper presents the development of efficient carboneous nanofibrous membranes for NP filtration from. Grammar denotes the syntactical rules for conversation in natural language. Any other place, we can predict. g. The Naive forecasting method of forecasting is one the easiest of all methods. A cluster for clause Ci = (li,1 ∨li,2 ∨li,3) C i = ( l i, 1 ∨ l i, 2 ∨ l i, 3) consists of. This calculation takes us up through t=2 where v2(1) and v2(2) are computed. Prove that following 3-CNF is SAT. n }, we will construct a 3-CNF formula F that is satisfiable if and only if F is satisfiable. Adjust the sliders to change the size of the sectors. 176, and below the green line. 5, which is defined as the particulate matter with a size less than 2. 1, the probability that the random variable \(X\) equals 1, \(P(X=1)\), is referred to as the probability mass function of \(X\) evaluated at 1. Which is now in CNF. P (X > 3 ): 0. You can also find an event's probability when you repeat the trial multiple times. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Instructions. Steps for converting CFG into CNF. Operating the Logic server currently costs about 113. formula into CNF? •Yes •Brute‐force method: the dual of the method for DNF 1. Half 3-CNF Satisfiability: CLRS 34. By converting fraction to percent, we can say that the chances of winning are 5/6 = 83. If you got a CNF in train ticket, then current status of the ticket is confirm& you are ready to travel on the reserved date. 13 $$ P(0) = 0. Use the standard normal distribution to find one of the following probabilities: Hide steps. Define the random variable and the value of 'x'. " The answers will be ready in a split second. We introduce the following parameters for every k ‚ 2. P (A) = n (A) / n (S) For the equation above: P (A) stands for the probability of an event happening. It is not necessary that the expression of CNF (Conjunction normal form) contains the same length of all the variables. Inverse normal distribution calculator (invnorm). To use the poker hand odds calculator, follow these easy steps: First, select which two cards you've been dealt. (फोटो: PTI) रेलवे का टिकट कन्फर्म होगा या नहीं. The first scenario is that it would take place and the second is. 5-8 In the Half 3-CNF Satisfiability problem, we are given a 3-CNF (3 conjunctive normal form) formula φ with n variables and m clauses where m is even. Called “CNF Probability”, the feature enables individuals to view the chances of confirmation or reservation against cancellation (RAC) of wait-listed tickets while making bookings for train tickets through IRCTC. Conditional probability is the measure of probability of an event A given that the event of B has already occurred. 5,586 5 5 gold badges 43 43 silver badges 81 81 bronze badgesP (A) =1, indicates total certainty in an event A. As you can see in the screenshot below, the assumption is that an investment will return $10,000 per year over a period of 10 years, and the discount rate required is 10%. 1. Which can be simplified for the standard normal distribution. In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. This page will convert your propositional logic formula to conjunctive normal form. That is, whether there is a an assignment to. probability-calculator. THROUGH SMS: SMS "PNR <10-digit PNR number>" to 139. Enter the number of events that occurred. Use the binomial probability formula to calculate the probability of success (P) for all possible values of r you are interested in. = 1/13. We are interested in the maximal blow-up of size when switching from the CNF repre- sentation to the DNF representation (or vice versa). cnf: # The MariaDB/MySQL tools read configuration files in the following order: # 0. $egingroup$ I'm don't know any software, however, this problem feels like it should be quite trivial. It can be used to get the cumulative distribution function ( cdf - probability that a random sample X will be less than or equal to x) for a given mean ( mu) and standard deviation ( sigma ): from statistics import NormalDist NormalDist (mu=0, sigma=1). What is CNF formula? Conjunctive normal form (CNF) is an approach to Boolean logic that expresses formulas as conjunctions of clauses with an AND or OR. Inside and outside probabilities This suggests: whereas for an HMM we have: Forwards = i —t–. 5 μm, has caused serious concerns in recent years because of its threat to public health [1]. P (X < 3 ): 0. Spread the loveThe probability of failure is a measure, often expressed as a percentage, that quantifies the likelihood of a system, component, or event failing to perform its intended function. 1 Answer. Every PDNF or PCNF corresponds to a unique Boolean Expression and vice versa. You can use the propositional atoms p, q and r, the "NOT" operatior (for negation), the "AND" operator (for conjunction), the "OR" operator (for disjunction), the "IMPLIES" operator (for implication), and the "IFF" operator (for bi-implication), and the parentheses to. To complicate things even further, the NP-completeness result for 4sat-prob>1/2 can easily be extended to 4sat-prob>1/4, to 4sat-prob>1/8, to 4sat-prob>1/16 and so on, and with very little extra work to more exotic values of plike p= 15/32 – but apparently not to certain other. Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. 111287007 $$ $$ P(3) = 0. P (k out of N) =. In this section, let’s see how we can prove that 3-SAT is NP-Complete. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Two events are independent events if the occurrence of one event does not affect the probability of the other event. Converting formula from CNF to DNF. A CNF contains only the operators: ¬(not), ∨ (or), ∧ (and). Follow edited Sep 17, 2014 at 10:36. random bits (truth assigments), for the nboolean variables of the k-CNF formula. GNWL (General Waiting List) is given first preference when it comes to confirmation. CNF in IRCTC is a short of form of Confirm. Let's say you want to use this bell curve calculator to determine an adult's probability of being taller than 185 cm. (w. Concept: Combinatorics is a branch of discrete mathematics that involves counting, arranging, and selecting objects. It's pretty easy to see, that the number of terms must be less than or equal to the number of variables. (It is interesting to leave this open as you continue to spin the spinner. Step 4: Write the Product of sums. (10 points) Consider the. Therefore, use the following formula (1) to roughly obtain the grafting rate of 4. 96, then X is the 97. 111287007 $$ $$ P(3) = 0. Enter all known values of X and P (X) into the form below and click the "Calculate" button to calculate the expected value of X. For example, the calculator reports that the probability of getting AT MOST 4 school closings in the coming year is 0. How does Truth Table Calculator Works? An online truth table generator provides the detailed truth table by following steps: Input: First, enter a propositional logic equation with symbols. Sum the values of P for all r within the range of interest. So, as we agreed earlier, (I ∨ M) ⇒ H = (¬I ∨ H) ∧ (¬M ∨ H) ( I ∨ M) ⇒ H = ( ¬ I ∨ H) ∧ ( ¬ M ∨ H) For (I ∧ M) ⇒ H ( I ∧ M) ⇒ H. 5. Positive figures: The odds state the winnings on a £100 bet e. n (S) = Total number of event. Before making the booking, click on this button to know the. When A and B are independent, P (A and B) = P (A) * P (B); but when A and B are dependent, things get a little complicated, and the formula (also. In other words, the specific value 1 of the random variable \(X\) is associated with the probability that \(X\) equals that value, which we found to be 0. You can use our normal distribution probability calculator to confirm that the value you used to construct the confidence intervals is correct. It is known that any (CNF) formula is solved with a time complexity of 2n where n is the number of di erent literals in the (CNF) formula. N! k! (N-k)! (p k ) (q N-k ) where: N =. The O/C ratio of the original CNF found in XPS is 0. To calculate it yourself, you have to follow these steps: Calculate the number of all possible combinations of balls in the pool (49) and balls to be drawn (6) by using this formula: 49! / (6! · (49 - 6)!)Features. P (F≤f)=0. cnf: # The MariaDB/MySQL tools read configuration files in the following order: # 0. Let’s look at an example of how to calculate the net present value of a series of cash flows. Free Statistics Calculator - find the mean, median, standard deviation, variance and ranges of a data set step-by-step We've updated our. In particular, we focus on a particular form of Boolean formula, the Conjunctive Normal Form (CNF) or Clausal Normal Form. Enter the number of possible outcomes. The final result is that the value of this investment is worth $61,446 today. Cnf probability calculator - We use deep machine learning algorithms to predict confirmation chances of your ticket as well as seat availability based on past. Disclaimer: The PNR Confirmation Prediction feature functions based on several factors like the internal data and analysis. This statistics calculator computes a number of common statistical values including standard deviation, mean, sum, geometric mean, and more, given a data set. Convert the given grammar into Chomsky's Normal Form (CNF) S->AAA|B. Please type the number of degrees of freedom associated to the t-distribution, and provide details about the event you want to compute the probability for: Number of Degrees of Freedom ( df df) Two-Tailed: ≤ t ≤. Check. 3723834465 $$ $$ P(2) = 0. For instance, it showed a 95 per cent probability of confirmation for the train ticket when general waiting list was three. A subset of this class is that of k-CNF, where each disjunction contains kterms, as in f= ^m i=1 (l 1 _l 2 _:::_l i k) To determine if we can learn such a class of functions, we must know the sizeIn Example 2. It makes sense that there are fewer choices for a combination than a permutation, since the redundancies are being removed. Train to Bangalore, not so. You could use the Riss3g Coprocessor of Norbert Manthey to simplify your CNF. n -. interpretation, presentation, and organization of data, while probability is the branch of mathematics dealing with the likelihood of occurrence of different events. Input the probabilities in their decimal form and make sure they all add up to 1. Problem. (Set mean = 0, standard deviation = 1, and X = 1. What is CNF probability?The normal probability calculator functions as a standard normal probability calculator by offering probabilities for various confidence levels. A PNR is a 10 digit. PDF is the probability that a random variable will take a value exactly equal to the random variable, whereas CDF is the probability that a random variable will take a value less than or equal to the random variable. Probability of a Normal Distribution. If A and B are independent events, then the probability of A and B occurring together is given by. The calculator will instantly compute the mean, variance, and standard deviation based on the provided data.