Question: 2. Let X be an exponentially distributed random variable with parameter 1. (a) (5 points) Compute the CDF of X. (b) (5 points) Prove that

2. Let X be an exponentially distributed random variable with parameter 1. (a) (5 points) Compute the CDF of X. (b) (5 points) Prove that if Y E U([0, 1]) (uniformly distributed rv on [0,1]) and Y = 1 - e , then X is exponentially distributed

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