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, 900 items were selected at random. Complete parts (a) through (d) below.

a. What is the probability that at least 84 of the selected items are defective?

P(X84)=

(Round to four decimal places as needed.)

b. What is the probability that between 90 and 100 of the selected items are defective?

P(90X100)=

(Round to four decimal places as needed.)

c. What is the probability that between 72 and 105 of the selected items are defective?

P(72X105)=

(Round to four decimal places as needed.)

d. Without doing the calculations, state which of the ranges of defectives shown below has the highest probability.

9091

9697

8788

9394

8687

Which range below has the highest probability?

A.

9091

B.

9697

C.

8687

D.

8788

E.

9394