Question: b) Let X be a continuous random variable with the following probability density function: f(x) = e-KI if x 2 0, otherwise. Find the value

b) Let X be a continuous random variable with the following probability density function: f(x) = e-KI if x 2 0, otherwise. Find the value of K, find the cumulative distribution function of X, and find E[X"] for all n E N. 6. (10%) a) Let X and Y be two independent and identically distributed Poisson random variables with parameter 2. Find Var(X), and find P(X + Y

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