Problem 4 Plinko is a game on "The Price is Right" where contestants drop a chip down a pegged board with 9 slots at the top and win a certain amount of money depending on which slot the chip lands in at the bottom. Contestants can win either $0, $100, $500, $1000, or $10,000 on each chip. (Search YouTube for "Plinko" if you are unfamiliar with the game and curious about it.) The probability distribution for a chip dropped down the middle slot is below. Assume each chip that is dropped is independent from every other chip. Amount Probability $0 .387 $100 .032 $500 .113 $1000 .242 $10,000 .226 a. Given that the chip does not land in the $10,000 slot, what is the probability she wins $500? b. Suppose a contestant drops two Plinko chips independently of one another. What is the probability that she wins C. d. some amount of money with both chips? (Hint: There are a few ways to do this problem.) Suppose a contestant drops two Plinko chips independently of one another. What is the probability that at least one chip lands in the $1000 slot? Calculate the population mean amount the contestant would be expected to win by dropping one Plinko chip.