Question: Let Y be a continuous random variable with f Y (y) = 1/2 (1+y), 1 y 1. Define the random variable W by

Let Y be a continuous random variable with f_Y (y) = 1/2 (1+y), −1 ≤ y ≤ 1. Define the random variable W by W = −4Y +7. Find fW (w). Be sure to specify those values of w for which f_W (w) ≠ 0.

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