Let X be the random variable with mean 10 and standard deviation 4 and Y be the random variable with mean 6 and standard deviation 2.

Find the followings:

a). E(X + 2Y )

b).E(4Y 3X)

c). E(X2 )

For the following parts, suppose X and Y are independent.

d). V ar(2Y )

e). V ar(X + Y )

f). V ar(2X 3Y )

g). SD(X Y )

h). SD(3X + 4Y )