expcdf (Statistics Toolbox)

Exponential cumulative distribution function (cdf).

Syntax

P = expcdf(X,MU)

Description

expcdf(X,MU) computes the exponential cdf with parameter settings MU at the values in X. The arguments X and MU must be the same size except that a scalar argument functions as a constant matrix of the same size of the other argument.

The parameter MU must be positive.

The exponential cdf is:

The result, p, is the probability that a single observation from an exponential distribution will fall in the interval [0 x].

Examples

The median of the exponential distribution is µ*log(2). Demonstrate this fact.

mu = 10:10:60; 
p = expcdf(log(2)*mu,mu)

p =

    0.5000    0.5000    0.5000    0.5000    0.5000    0.5000

What is the probability that an exponential random variable will be less than or equal to the mean, µ?

mu = 1:6;
x = mu;
p = expcdf(x,mu)

p =

    0.6321    0.6321    0.6321    0.6321    0.6321    0.6321

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