If X has an exponential distribution with parameter λ,then the mean of X is ______________.

Exponential Distribution

A probability distribution associated with the time between events in a Poisson process, characterized by a constant mean rate.

Parameter

A measurable attribute that characterizes a system or population, such as its mean or variance.

Ascertain the parameter λ within exponential distributions and grasp its connection to the mean and variance.
Determine the arithmetic mean, median, variance, and standard deviation in exponential distributions.

Verified Answer

Final Answer :

1/λ

Learning Objectives

Ascertain the parameter λ within exponential distributions and grasp its connection to the mean and variance.
Determine the arithmetic mean, median, variance, and standard deviation in exponential distributions.