The payoff X of a lottery ticket in the Tri-State Pick 3 game is$500 with probability 1/1000 and $0 the rest of the time. Assumethe payoffs X and Y are for separate days and are independent fromeach other.
a. What price should Tri-State charge for a lottery ticket sothat they can break even in the long run (average profit =$ 0).
b. Find the mean and standard deviation of the total payoffX+Y.
