Question 4 any Allen has 11 hens. The probability that hen lays an egg on any day is 0.45. Hens do not lay more than one egg per day, and the days on which a hen lays an egg are independent. (a) Find the variance of the number of hens that lays eggs. Calculate the probability that, on any particular Allen's hens lay. day, Allen' (b) exactly 6 eggs (c) less than 2 eggs. (d) at most & eggs at least 3 eggs (e) at