Let X and Y equal the respective numbers of hours a

QUESTION:

Let X and Y equal the respective numbers of hours a randomly selected child watches movies or cartoons on TV during a certain month. From experience, it is known that E(X) = 30, E(Y) = 50, Var(X) = 52, Var(Y) = 64, and Cov(X, Y) = 14. Twenty-five children are selected at random. Let Z equal the total number of hours these 25 children watch TV movies or cartoons in the next month. Approximate P(1970 < Z < 2090). Hint: Use the remark after Theorem 5.3-2.