Question
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
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.)
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