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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 72% 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 ng <5. O B. No, because np <5 O C. Yes, because both np25 and nq 25.

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 72% 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 ng <5. O B. No, because np <5 O C. Yes, because both np25 and nq 25.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 48CR
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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 72% 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 ng <5. O B. No, because np <5. O C. Yes, because both np25 and ng 25. orrect: 0
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 72% 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 ng <5. O B. No, because np <5. O C. Yes, because both np25 and ng 25. orrect: 0
The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n= 15 p=0.26 q = 0.74 Can the normal distribution be used to approximate the random variable x? O A. Yes, because np2 5 and nq2 5. O B. No, because np< 5. O C. No, because np <5 and ng < 5. O D. No, because nq< 5.
Transcribed Image Text:The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n= 15 p=0.26 q = 0.74 Can the normal distribution be used to approximate the random variable x? O A. Yes, because np2 5 and nq2 5. O B. No, because np< 5. O C. No, because np <5 and ng < 5. O D. No, because nq< 5.
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