Let the number of chocolate chips in a certain type of cooki

Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a randomly chosen cookie has at least two chocolate chips to be greater than 0.99. Find the smallest value of the mean of the distribution that ensures this probability.

Solution

Using a table/technology, we see that for P(at least 2) > 0.99, the mean should be, to 2 decimal places,

u = 6.64 [ANSWER]