Chocolate chips are randomly distributed onto on a bakery's cookies with a rate, on average, of 9 chips per cookie. Assume that the cookies are independent.
a. What is the distribution of the number of chips per cookie and what is the parameter of interest?
b. What is the probability that a randomly selected cookie contains exactly 10 chips?
c. What is the probability that a randomly selected cookie contains at least 2 chips?
d. What is the standard deviation of the number of chips per cookie?
e. On average, how many cookies would you have to check until found a cookie with exactly 10 chips?