It is known that 10% of all the items produced by a particular manufacturing process are defective. From the very large output of a single day, 100 items are selected at random.

a. What is the probability that at least 8 of the selected items are defective?

b. What is the probability that between 10 and 14 of the selected items are defective?

c. What is the probability that between 7 and 15 of the selected items are defective?

d. Without doing the calculations, state which of the following ranges of defectives has the highest probability: 15-16, 8-9, 13-14, 4-5, or 9-10.