Question: (a) Let X be an exponential random variable with parameter A. Consider another random variable Y = aX +b, where a, b are real numbers

(a) Let X be an exponential random variable with parameter A. Consider another random variable Y = aX +b, where a, b are real numbers and a * 0. Please write down the CDF and PDF of Y (Note: we assume that the PDF of Y is continuous everywhere, except at b). Under what condition is Y also an exponential random variable? (Hint: a > 0 and a

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