Question: Suppose that the time in between customers at a store are independent Exponential random variables, with an average of 2 minutes between consecutive customers. Let

Suppose that the time in between customers at a store are independent Exponential random variables, with an average of 2 minutes between consecutive customers. Let X be the time until the 3rd customer arrives.
a. Find E(X).
b. Find Var(X).
c. Find the density of X

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