The mean of the exponential distribution equals the mean of the Poisson distribution only when the former distribution has a mean equal to:
A) 1.0 .
B) 0.50 .
C) 0.25 .
D) any value smaller than 1.0 .

Question

The mean of the exponential distribution equals the mean of the Poisson distribution only when the former distribution has a mean equal to: 
A)  1.0 . 
B)  0.50 . 
C)  0.25 . 
D) any value smaller than  1.0 .

Quizplus · Accepted Answer

The mean of an exponential distribution is 1/λ, and the mean of a Poisson distribution is λ. These means are equal when 1/λ = λ, which occurs when λ = 1. Thus, the mean of the exponential distribution is 1.0.

The Mean of the Exponential Distribution Equals the Mean of the Poisson