A seed manufacturer sells seeds in packets of 50. Assume that each seed germinates with probability 0.99 independently of all the others. The manufacturer promises to replace, at no cost to the buyer, any packet with 3 or more seeds that do not germinate.

(a) Use the Poisson to estimate the probability a packet must be replaced.

(b) Use the normal to estimate the probability that the manufacturer has to replace more than 70 of the last 4,000 packets sold.