Which of the following is not true for an exponential distribution with parameter $\lambda$ ?
A) $\mu = 1 / \lambda$
B) $\sigma = 1 / \lambda$
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

Quizplus · Accepted Answer

The exponential distribution is a one-parameter distribution, characterized solely by the rate parameter $\lambda$. The mean ($\mu$) and standard deviation ($\sigma$) are both equal to $1/\lambda$, making it incorrect to classify it as a two-parameter distribution based on the equality of mean and standard deviation.

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

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