Determine whether you can use the normal distribution to approximate the binomial distribution. If youcan, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If youcannot, 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.

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.

(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is(a) exactly 68, (b) at least 68, and(c) fewer than 68.

(Round to four decimal places asneeded.)