Data from the Central Hudson Laboratory determined that the mean number of insect fragments in 225-gram chocolate bars was 14.4 (http://www.centralhudsonlab.com/chocolates.shtml). In a 33-gram bar the mean number of insect fragments would then be 2.11. Assume that the number of insect fragments follows a Poisson distribution.

(a) If you eat a 33-gram chocolate bar, find the probability that you will have eaten at least 2 insect fragments.

(b) If you eat a 33-gram chocolate bar every week for 10 weeks, find the probability that you will have eaten no insect fragments in exactly 6 of those weeks.