how to calculate the probability of a exponential distribution in matlab

To calculate the probability of an exponential distribution in matlab, you can use the exppdf, expcdf, and expinv functions.

• exppdf(x, mu) returns the probability density function of the exponential distribution with mean mu at the values in x.
• expcdf(x, mu) returns the cumulative distribution function of the exponential distribution with mean mu at the values in x.
• expinv(p, mu) returns the inverse of the cumulative distribution function of the exponential distribution with mean mu for the probabilities in p.

Here is an example of how to calculate and plot the probability density function and cumulative distribution function of an exponential distribution with mean 2:

main.m
% Parameters
mu = 2;

% Range of values
x = 0:0.1:10;

% Probability density function
pdf = exppdf(x, mu);

% Cumulative distribution function
cdf = expcdf(x, mu);

% Plot
subplot(2,1,1)
plot(x, pdf)
title('Probability Density Function')
xlabel('x')
ylabel('f(x)')

subplot(2,1,2)
plot(x, cdf)
title('Cumulative Distribution Function')
xlabel('x')
ylabel('F(x)')
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Output: