6. Chocolate chips are randomly distributed on a bakery's chocolate chip cookies with an average of 5 chips per cookie. Assume that the cookies are independent. (a) What is the probability that a randomly selected cookie contains no chocolate chips? Which distribution are you using? (b) On average, how many cookies would you have to eat until you eat the third chipless cookie? Which distribution are you using? (c) What is the probability that on a tray of 100 cookies at least one cookie has no chocolate chips? Which distribution are you using? (d) What is the probability that the third tray of 100 cookies is the first to contain a cookie with no chips? Which distribution are you using?

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