Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities.

A survey of adults in a region found that

64%

have encountered fraudulent charges on their credit cards. You randomly select

100

adults in the region. Complete parts (a) through (d) below.

Question content area bottom

Part 1

Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.

A.

No, because

np<5.

B.

Yes, because both

np5

and

nq5.

Your answer is correct.

C.

No, because

nq<5.

Part 2

(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly

66,

(b) at least

66,

and (c) fewer than

66.

enter your response here

(Round to four decimal places as needed.)