Question: Consider a random variable, X, with the following PDF, where C is a constant: f(x) = (x - C) / 4 for 3 x 5

Consider a random variable, X, with the following PDF, where C is a constant: f(x) = (x - C) / 4 for 3 x 5 0 otherwise (a) Find the value of C for which this is a valid PDF. (b) Find F(x), the CDF of X. Give a functional definition, as well as a plot. (c) Compute P(X > 3.5) (d) Compute E[X] (e) Compute V[X]

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