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

54%

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

100

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

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Part 1

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

A.

No, because

nq<5.

B.

No, because

np<5.

C.

Yes, because both

np5

and

nq5.