Chocolate Chip Cookies Consider an individual chocolate chip cookie to be the specified interval unit required for a Poisson distribution, and consider the variable x to be the number of chocolate chips in a cookie. Suppose the numbers of chocolate chips in 40 different reduced fat Chips Ahoy cookies is given. The Poisson distribution requires a value for m, so use 19.6, which is the mean number of chocolate chips in the 40 reduced fat Chips Ahoy cookies. Assume that the Poisson distribution applies.

a. Find the probability that a cookie will have 18 chocolate chips, then find the expected number of cookies with 18 chocolate chips among 40 different reduced fat Chips Ahoy cookies, then compare the result to the actual number of reduced fat Chips Ahoy cookies with 18 chocolate chips.

b. Find the probability that a cookie will have 21 chocolate chips, then find the expected number of cookies with 21 chocolate chips among 40 different reduced fat Chips Ahoy cookies, then compare the result to the actual number of reduced fat Chips Ahoy cookies with 21 chocolate chips.