If the random variable X is exponentially distributed,then the mean of X will be:
A) greater than the median.
B) less than the median.
C) equal to the median.
D) Cannot tell;the answer depends on what $\lambda$ is.

Question

Quizplus · Accepted Answer

The mean of an exponentially distributed variable is given by μ=1/λ where λ is the rate parameter. The median is given by ln(2)/λ. Since ln(2)<1, it follows that the mean is greater than the median.

If the Random Variable X Is Exponentially Distributed,then the Mean λ\lambdaλ

If the Random Variable X Is Exponentially Distributed,then the Mean $\lambda$