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

Question

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

Quizplus · Accepted Answer

The exponential distribution is a one-parameter distribution, since the mean and standard deviation are both determined once the value of lambda is known. Therefore, option D is not true. Options A and B are true, and option C is partially true since lambda determines the entire distribution except for scaling.

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

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