. Let f (x) = cx 3 and S X = [0, 2] (X is continuous and c is a constant). a. What value of c will make f (x) a valid density? b. What is P (X = 1)? c. What is P (X

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1. Let f (x) = cx 3 and S X = [0, 2] (X is continuous and c is a constant).

a. What value of c will make f (x) a valid density?
b. What is P (X = 1)?
c. What is P (X = 1 or X = 2)?

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