Question: For Problems 18-21, refer to the following information.

Packages that contain one tiny pot with one Venus Fly Trap seed inside can be found for sale in the Toy Department of a BX. Included in the package is a notice regarding the germination rate. Let’s use 80% as the germination rate (this is rounded from what is actually stated in the packages) and let’s assume that this is a promotional offer so this BX only obtained a shipment of 20 of these packages.

Let’s say that due to popular demand, the BX orders a second shipment that consists of 50 packages.

a) If using the normal distribution to approximate the probability that more than 40 of them will germinate, then what correction must be made to the 40 in order to improve the approximation of the probability?

b) Why can the normal distribution be used to approximate the above probability? Support your answer with numerical evidence.