Which of the following is not true for an exponential distribution with parameter $\lambda$ ?
A) Mean =$1 / \lambda$
B) Standard deviation =$1 / \lambda$
C) The distribution is completely determined once the value of $\lambda$ is known.
D) The distribution is a two-parameter distribution since the mean and standard deviation are equal.

Question

Which of the following is not true for an exponential distribution with parameter $\lambda$ ?
A) Mean =$1 / \lambda$
B) Standard deviation =$1 / \lambda$
C) The distribution is completely determined once the value of $\lambda$  is known.
D) The distribution is a two-parameter distribution since the mean and standard deviation are equal.

Quizplus · Accepted Answer

The statement "The distribution is a two-parameter distribution since the mean and standard deviation are equal" is not true. The exponential distribution is a one-parameter distribution, where the parameter $\lambda$ determines the rate at which events occur. The mean and standard deviation are both equal to $1/\lambda$, but this does not make it a two-parameter distribution.

Which of the Following Is Not True for an Exponential λ\lambdaλ

Which of the Following Is Not True for an Exponential $\lambda$