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).

Atypical mre contains 1,200 calories.if the average solider eats 3 mre per day and is deployed for 15 months how many calories will be consumed by a 44 member platoon of soldiers

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.