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 67% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. (b) Find the probability that the number who have encountered fraudulent charges on their credit cards at least 69. (Round 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. H=67 =67 =67 51 69 83 51 69 83 51 69 83 (c) Find the probability that the number who have encountered fraudulent charges on their credit cardsi fewer than 69. (Round to four decimal places as needed.)

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Chapter10: Statistics
Section10.1: Measures Of Center
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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 67% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below.
(b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 69.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
Oc.
D.
H = 67
µ = 67
µ = 67
The nor
distribution cann
use
approximate the
binomial distribution.
51
69
83
51
69
83
51
69
83
(c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 69.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
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 67% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. (b) Find the probability that the number who have encountered fraudulent charges on their credit cards is at least 69. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. Oc. D. H = 67 µ = 67 µ = 67 The nor distribution cann use approximate the binomial distribution. 51 69 83 51 69 83 51 69 83 (c) Find the probability that the number who have encountered fraudulent charges on their credit cards is fewer than 69. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded.
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 67% 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. No, because ng < 5.
C. Yes, because both np 25 and nq 2 5.
(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 69, (b) at least 69, and (c) fewer than 69.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
OC.
D.
The normal distribution cannot be used to approximate the
H=67
µ = 67
μ= 67
binomial distribution.
51
69
83
51
69
83
51
69
83
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 67% 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. No, because ng < 5. C. Yes, because both np 25 and nq 2 5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 69, (b) at least 69, and (c) fewer than 69. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. OC. D. The normal distribution cannot be used to approximate the H=67 µ = 67 μ= 67 binomial distribution. 51 69 83 51 69 83 51 69 83
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