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. OA. Yes, because both np 25 and ng 25. OB. No, because np<5. Oc. No, because ng<5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 57, (b) at least 57, and (c) fewer than 57. ORound to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OA OB. Oc. OD. The normal distribution cannot be used to approximate the binomial distribution. 38 57 (b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 57. ORound to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OA. OB. Oc. . OD. The normal distribution cannot be used to approximate the binomial distribution. p55 (c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 57. DRound to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OA OB. Oc. OD. The normal distribution cannot be used to approximate the binomial distribution. p-55 57

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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. Yes, because both np 25 and nq 2 5.
O B. No, because np < 5.
O c. No, because nq < 5.
(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 57, (b) at least 57, and (c) fewer than 57.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
Ос.
O D.
The normal distribution cannot be used to approximate the binomial
distribution.
H = 55
H = 55
H = 55
38
57
72
38
57
72
38
57
72
(b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 57.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
Oc.
OD.
The normal distribution cannot be used to approximate the binomial
distribution.
H = 55
H = 55
H = 55
38
57
72
38
57
72
38
57
72
(c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 57.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
OA.
В.
OC.
OD.
The normal distribution cannot be used to approximate the binomial
distribution.
H= 55
H = 55
H= 55
38
57
38
38
57
72
-------6
u------
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. Yes, because both np 25 and nq 2 5. O B. No, because np < 5. O c. No, because nq < 5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 57, (b) at least 57, and (c) fewer than 57. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. Ос. O D. The normal distribution cannot be used to approximate the binomial distribution. H = 55 H = 55 H = 55 38 57 72 38 57 72 38 57 72 (b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 57. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. Oc. OD. The normal distribution cannot be used to approximate the binomial distribution. H = 55 H = 55 H = 55 38 57 72 38 57 72 38 57 72 (c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 57. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OA. В. OC. OD. The normal distribution cannot be used to approximate the binomial distribution. H= 55 H = 55 H= 55 38 57 38 38 57 72 -------6 u------
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