An exponential distribution with parameter = 0.2 has mean and standard deviation both equal to 5.

Question

An exponential distribution with parameter  = 0.2 has mean and standard deviation both equal to 5.

Quizplus · Accepted Answer

For an exponential distribution with parameter λ, the mean is equal to 1/λ and the standard deviation is equal to 1/λ as well. Therefore, if the mean and standard deviation are both equal to 5, we can solve for λ:

Mean = 1/λ
5 = 1/λ
λ = 1/5 = 0.2

This is exactly the given parameter, so the statement is true.

An Exponential Distribution with Parameter = 0