6. A shop receives weekly deliveries of 120 eggs from a local farm. The proportion of eggs received from the farm that are broken is 0.008
- Explain why it is reasonable to use the binomial distribution to model the number of eggs that are broken in each delivery.
- Use the binomial distribution to calculate the probability that at most one egg in a delivery will be broken.
- State the conditions under which the binomial distribution can be approximated by the Poisson distribution.
- Using the Poisson approximation to the binomial, find the probability that at most one egg in a delivery will be broken. Comment on your answer.