4 Kamal has 30 hens. The probability that any hen lays an egg on any day is 0.7 . Hens do not lay more than one egg per day, and the days on which a hen lays an egg are independent.
- Calculate the probability that, on any particular day, Kamal's hens lay exactly 24 eggs.
- Use a suitable approximation to calculate the probability that Kamal's hens lay fewer than 20 eggs on any particular day.