binompmf

Contents: Citation, Description, Arguments, Usage, Examples, Sub-Functions, Related Functions, Source Supported Under Version: >1.00 Current .dvrc Version: 1.29 Citation 1.10 Description Probability mass function for the binomial distribution Arguments and Return Values Arguments: Numbers specifying the total number of trials (n) and the probability of success in each trial (p), and an array specifying the number of successes for which the probability is to be computed (k) Return Value: The probability of having exactly k successes in n trials If no arguments are input, binompmf() prints its description, as shown below. Usage Syntax: binompmf(n=n, k=k, p=p) 'n' - the total number of trials; must be integer and scalar (1x1x1) 'k' - the number of successes (must be integer); can be an array; if k is omitted, the function will use k = create(n + 1), which is [0, 1, 2, ... n-1, n] 'p' - the probability of success in any single trial (which is the same for all trials in a binomial distribution); p must be scalar, between zero and one; if p is omitted, the function will default to 0.5 So, to find the probability of getting exactly 6 heads when flipping a coin 10 times, use binompmf(n=10, k=6, p=0.5). If k is an array, the return array will be the same size as k, with each element P_i giving the probability of exactly k_i successes. The arguments don't have to be in a specific order, but they all MUST be passed by reference. Examples dv> binompmf() Binomial distribution probability mass function binompmf(p=p, n=n, k=k) You MUST pass all arguments by reference (not by value) n is the number of trials k is the number of successes p is the probability of success in each trial n and k must be positive integers p must be a real number 0 <= p <= 1 n and p must be scalar (1x1x1); only k can be an array If p is omitted, this function will use p = 0.5 If k is omitted, the function will use k = [0, 1, 2, ... , n] Returns the probability of exactly k successes in n trials binompmf(n, k, p) = nCk*p^k*(1 - p)^(n - k) S.Marshall 02-17-2008 0 dv> binompmf(n=10, k=6, p=0.5) 0.205078 dv> binompmf(n=10) 11x1x1 array of float, bsq format [44 bytes] 0.000976562 0.00976562 0.0439453 0.117188 0.205078 0.246094 0.205078 0.117188 0.0439453 0.00976562 0.000976562

DavinciWiki Mini-Nav Bar Contents Functions Function Categories Common Procedures Glossary Download Davinci Change Log News Mailing List Contact Developers davinci-dev [AT] mars.asu.edu All other topics See navigation on the left Major Sub-Functions create HasValue isint isscalar nCk Related Functions binomcdf nCk math.dvrc binompmf() Recent Library Changes Change Log Created On: 02-19-2008 Modified On: 02-19-2008