5. A farmer noticed that some of the eggs laid by his hens had double yolks. He estimated the probability of this happening to be 0.05 . Eggs are packed in boxes of 12 .
Find the probability that in a box, the number of eggs with double yolks will be
- exactly one,
- more than three.
A customer bought three boxes.
- Find the probability that only 2 of the boxes contained exactly 1 egg with a double yolk.
The farmer delivered 10 boxes to a local shop.
- Using a suitable approximation, find the probability that the delivery contained at least 9 eggs with double yolks.
The weight of an individual egg can be modelled by a normal distribution with mean 65 g and standard deviation 2.4 g .
- Find the probability that a randomly chosen egg weighs more than 68 g .