Suppose that X and Y are random variables for which E(X) = 2, E(Y ) = 4, Var(X) = 25 and Var(Y ) = 4. (a) (10 pts) Assume that X and Y are independent. Find E(2X − 3Y + 10) and Var(2X − 3Y + 10). (b) (8 pts) Assume that rho(X, Y ) = −0.30. Find E(2X −3Y +10) and Var(2X −3Y + 10).

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

Select all the statements that apply to this figure

Afamily went out to dinner and their bill was $113.if they want to leave a 19% tip, how much should they leave.