Let Y be the sum of two fair six-sided die.
(a) Find the PMF of Y.
(b) What is the expected value of Y ?
(c ) What is the standard deviation of Y ?
(d) Interpret the standard deviation you found in the last partin context of the experiment.
(e) Find the CDF of Y.
(f) Use the CDF of Y to find the probability that the sum of thedice will be strictly between six and ten. Answers calculated usingthe PDF will receive no credit.
