In general, E(XY) + E(X) × E(Y), but if X and Y are E(XY) = E(X) × E(Y). independent RVs,

If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY = 60, find the value of ‘x’.

If X and Y are independent, then p(X, Y) = 0?

Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az = (b) Compute dz. dz = (c) Compare the values of Az and dz. O dz is a good approximation of Az. O dz is not a good approximation of Az.

Are the functions f, g, and h given below linearly independent? f(x) = e2" + cos(7x), g(æ)= e2 – cos(7x), h(x) = cos(7x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e2z + cos(7x)) + (e2z – cos(7x)) + (cos(7x)) = 0. help (numbers)