Let Y have an exponential distribution with a mean of 40 Wha

Let Y have an exponential distribution with a mean of 40.

What is the variance of Y?

Solution

Expected value
The expected value of an exponential random variable X is: 1/

Variance
The variance of an exponential random variable X is: 1/ ^2

given that exponential distribution with a mean of 40.

1/ = 40
Square on b/s
(1/ )^2 = 40^2
1/ ^2 = 1600
variance = 1/ ^2 = 1600