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 )