binopdf (Statistics Toolbox)

Binomial probability density function (pdf).

Syntax

Y = binopdf(X,N,P)

Description

binopdf(X,N,P) computes the binomial pdf with parameters N and P at the values in X. The arguments X, N and P must all be the same size except that scalar arguments function as constant matrices of the common size of the other arguments.

N must be a positive integer and P must lie on the interval [0 1].

The binomial pdf is

The result, y, is the probability of observing x successes in n independent
trials of where the probability of success in any given trial is p.

Examples

A Quality Assurance inspector tests 200 circuit boards a day. If 2% of the boards have defects, what is the probability that the inspector will find no defective boards on any given day?

binopdf(0,200,0.02)
ans =

    0.0176

What is the most likely number of defective boards the inspector will find?

y = binopdf([0:200],200,0.02);
[x,i] = max(y);
i

i =

     5

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