[See Solution] Let X and Y be two random variables representing the numbers that come up on two dice. Let Z = X+Y. Calculate the probability function of Z
Question: Let X and Y be two random variables representing the numbers that come up on two dice. Let Z = X+Y. Calculate the probability function of Z and then calculate E(z). Show that E(z) = E(x) + E(Y).
Deliverable: Word Document 
![[Steps Shown] Show that E(CX) = CE(X)](/images/solutions/MC-solution-library-59097.jpg "[Steps Shown] Show that E(CX) = CE(X) for any random variable X and")
[Steps Shown] Show that E(CX) = CE(X) for any random variable X and
![[See Steps] Show that Var(cX) = c](/images/solutions/MC-solution-library-59098.jpg "[See Steps] Show that Var(cX) = c 2 Var(X) for any random variable")
[See Steps] Show that Var(cX) = c 2 Var(X) for any random variable
![[See] Show that E(X + Y +](/images/solutions/MC-solution-library-59099.jpg "[See] Show that E(X + Y + Z) = E(X) + E(Y) + E(z), for any three")
[See] Show that E(X + Y + Z) = E(X) + E(Y) + E(z), for any three
(Solved) Suppose X is a discrete random variable, and suppose
![[Step-by-Step] Flip a fair coin a few](/images/solutions/MC-solution-library-59101.jpg "[Step-by-Step] Flip a fair coin a few times, and let X be the number")
[Step-by-Step] Flip a fair coin a few times, and let X be the number
Statistics Calculators Online - MathCracker.com