Determine whether you can use the normal distribution to approximate thế binomlal disti 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 55% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete through (d) below. Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. No, because np <5. O B. No, because nq <5. O C. Yes, because both np 5 and nq 2 5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 58, (b) at least 58, and (c) fewer than 58. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O B. OC. OD. OA. The normal distribution cannot

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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 55% 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.
O A. No, because np <5.
B. No, because nq < 5.
C. Yes, because both np 2 5 and nq 2 5.
(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 58, (b) at least 58, and (c) fewer than 58.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
A.
В.
C.
O D.
H=55
H=55
The normal distribution cannot be used
to approximate the binomial distribution.
H= 55
38
58
72
38
58
72
38
58
72
(b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 58.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
A.
O B.
С.
O D.
H= 55
H=55
The normal distribution cannot be used
to approximate the binomial distribution.
H=55
38
58
72
38
58
72
38
58
72
(c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 58.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
C.
D.
H=55
H=55
H=55
The normal distribution cannot be used
to approximate the binomial distribution.
Click to select your answer(s).
Transcribed Image Text: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 55% 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. O A. No, because np <5. B. No, because nq < 5. C. Yes, because both np 2 5 and nq 2 5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 58, (b) at least 58, and (c) fewer than 58. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. A. В. C. O D. H=55 H=55 The normal distribution cannot be used to approximate the binomial distribution. H= 55 38 58 72 38 58 72 38 58 72 (b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 58. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. A. O B. С. O D. H= 55 H=55 The normal distribution cannot be used to approximate the binomial distribution. H=55 38 58 72 38 58 72 38 58 72 (c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 58. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. C. D. H=55 H=55 H=55 The normal distribution cannot be used to approximate the binomial distribution. Click to select your answer(s).
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