1. Let f (x) = cx 3 and S X = [0, 2] (X is continuous and c is a constant) a. Find the expectation of X, E(X). b. What is P (0.5 < X < 1.5)? c. What is P (0.5 < X < 2.5)?

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

a. Find the expectation of X, E(X).
b. What is P (0.5 < X < 1.5)?
c. What is P (0.5 < X < 2.5)?

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