Problem 1. (1 point) A certain senior citizen purchases 53 "6-49" lottery tickets a week. Each ticket consists of a different six-number combination. The probability that any given ticket is a winner is about 0.018638 (note: for a ticket to be a winner, at least three of the six numbers on the ticket must match the six-number winning combination). 4} What probability distribution would be appropriate for nding the probability that any individual ticket is a winning ticket? ? Part (a) How many winning tickets can the senior expect to have each week? E[X] = )4): = l E (If rounding use at least four digits after the decimal in your answer) Standard deviation in the number of winning tickets? SDPQ = a'x = j ' ' (If rounding use at least four digits after the decimal in your answer) Part (b) What is the probability that the senior will have at least 1 winning ticket? P(X 2 1) = (It rounding use at least four digits after the decimal in your answer) What is the probability that the senior will have at most one winning ticket? P(X S 1) = E (If rounding use at least four digits after the decimal in your answer) Part (0) What is the probability that the senior will have between 3 and 7 (inclusive) winning tickets? ' E i (If rounding use at least four digits after the decimal in your answer) preview answers