4. Let X be a continuous random variable taking values in [0, e with the CDF...

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4. Let X be a continuous random variable taking values in [0, e with the CDF F(r) = { rE (0,c 1. (a) What is c? (b) Calculate P(X >1) and P(X <1/4) (c) Calculate E(X), Var (X) and E (G) 5. Let X be a random variable with the PDF f(x) = |r- 1| for 0<1<c Answer the following questions (a) Find c (b) Find P(X < 0.5) and P(|X - 1| > 0.5) (c) Calculate E(X) and Var(X) 4. Let X be a continuous random variable taking values in [0, e with the CDF F(r) = { rE (0,c 1. (a) What is c? (b) Calculate P(X >1) and P(X <1/4) (c) Calculate E(X), Var (X) and E (G) 5. Let X be a random variable with the PDF f(x) = |r- 1| for 0<1<c Answer the following questions (a) Find c (b) Find P(X < 0.5) and P(|X - 1| > 0.5) (c) Calculate E(X) and Var(X)