Question: Chocolate chips are randomly distributed onto on a bakery's cookies with a rate, on average, of 11 chips per cookie. Assume that the cookies are

Chocolate chips are randomly distributed onto on a bakery's cookies with a rate, on average, of 11 chips per cookie. Assume that the cookies are independent.
a. What is the probability that a randomly selected cookie contains exactly 12 chips?
b. On average, how many cookies would you have to check until found a cookie with exactly 12 chips?
c. On average, how many cookies would you have to check until you found the 5th cookie with exactly 12 chips?
d. If you sample 30 cookies (with replacement) what is the probability there will be at least one cookie with exactly 12 chips?
e. You have a batch of 100 cookies, and 10 of these cookies have exactly 12 chips. If you randomly eat 5 cookies from this 100-cookie batch, what is the probability that at least 1 of the cookies you eat will have exactly 12 chips?

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