Exercise 1 (5 points) Are the following statements True or False? Show your reasoning.
E[4x]=16E[x]
E[x^(2)]=E[x]^(2)
If
V[x]=3
then
V[x^(2)]=9
E[x+2Y]=E[x]+2E[Y]
P(Y=y|x=x)=(P(x=x|Y=y)P(Y=y))/(P(x=x))