QUESTION 4 Consider the following discrete probability distribution х P(x) 5 0.10 10 0.15 15 0.25 20 0.50 NI a. Calculat

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QUESTION 4 Consider the following discrete probability distribution х P(x) 5 0.10 10 0.15 15 0.25 20 0.50 NI a. Calculate the expected value of the random variable. b. Let y=x+5. Calculate the expected value of the new random variable y c Let z = 5x Calculate the expected value of the new random variable z d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on the expected value of the random variable e From your calculations in part a and part c indicate the effect that multiplying a random variable by a constant has on the expected value of the random variable