Amazon believes that roughly 4% of its packages have some difficulty with delivery (late delivery, lost in delivery, delivered to the wrong address, etc.). Suppose that a random sample of 300 packages is looked at the see how deliveries have been going recently.

a) (7pts) Define a random variable that would be used to help answer the question: "What is the probability that in the sample of 300 packages that between 2% and 3% will have delivery issues?" State the distribution of this variable, perform all necessary checks, and state its parameters.

b) (3pts) Calculate the probability that in the sample of 300 packages that between 2% and 3% will have delivery issues.