a. If a company makes a product with an 80% yield (meaning that 80% are good), what

Question:

a. If a company makes a product with an 80% yield (meaning that 80% are good), what is the minimum number of items that must be produced to be at least 99% sure that the company produces at least 5 good items?
b. If the company produces batches of items, each with the minimum number determined in part (a), find the mean and standard deviation for the number of good items in such batches.