Question: Let X 1 and X 2 be independent exponential random variables, each with mean one. a. find the joint probability distribution function for the random

Let X1and X2be independent exponential random variables, each with mean one.

a. find the joint probability distribution function for the random variables S= X1and T=X1+ X2. Show all steps.

b. Are S and T independent? Pleas Explain.

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