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 P(x) 1.0 0.22 2.0 0.2 3.5 0.42 5 0.16 a.) Compute E(X), the expected value of X. (Give decimal answer to two places past decimal) Submit Answer Tries 0/3 b.) Compute E(X), the expected value of x2. (Give decimal answer to two places past decimal.) Submit Answer Tries 0/2 c.) Compute the variance of X, Var(X). (Give decimal answer to two places past decimal) Submit Answer Tries 0/2 d.) If the price of a lawnmower having horsepower X is 110 X-23 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.) Submit Answer Tries 0/2 e.) What is the variance of the price paid by the next customer? (Give answer to nearest whole number.) Submit Answer Tries 0/2