Suppose Canadian Tire sells four different models of Troy-Bilt lawnmowers having 1.0, 2.0, 3.5, and 5.0 horsepower engines, respectively. Let X = {engine horsepower purchased by next customer} have the following pmf X 1.0 2.0 3.5 5 p(x) 0.16 0.2 0.36 0.28 a.) Compute E(X), the expected value of X. (Give decimal answer to two places past decimal) 3.22 KAJiEBAY S = 157-2621 ( LEDBy= int b.) Compute E(X2), the expected value of X2. (Give decimal answer to two places past decimal.) 12.37 1031894: # 157-5344 (@ c.) Compute the variance of X, Var(X). (Give decimal answer to two places past decimal) 2.00 KATIEBASE 157-7058 ( d.) If the price of a lawnmower having horsepower X is 180 X - 48 Canadian dollars, what is the expected price paid by the next customer who buys a lawnmower? (Give decimal answer to two places past decimal, omit dollar sign.) 531.60 128JiEBAY: 157-6307 (@ e.) What is the variance of the price paid by the next customer? (Give answer to nearest whole number.) 59292 mix. Tries 1/5 LXming= it