Question: Assume a random variable X follows the exponential distribution with rate parameter . (a) Show that V ar(X) = 1 2 . (b) Find the

Assume a random variable X follows the exponential distribution with rate parameter .

(a) Show that V ar(X) = 1 2 .

(b) Find the median of the distribution of X, compare it to the mean of X, and use this information to conclude the direction of skewness of the exponential distribution.

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