Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated unusual events. Explain. probabilities. Identify ar trial. You randomly select 210 In a survey of U.S. adults, 19% said that they have participated in a clinical number who have participated in a clinical trial is (a) no fewer than 34, (b) more than 42, and (c) between U.S. adults. Find the probability that the 37 and 47 inclusive.
Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated unusual events. Explain. probabilities. Identify ar trial. You randomly select 210 In a survey of U.S. adults, 19% said that they have participated in a clinical number who have participated in a clinical trial is (a) no fewer than 34, (b) more than 42, and (c) between U.S. adults. Find the probability that the 37 and 47 inclusive.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate th
indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. Identify any
unusual events. Explain.
In a survey of U.S. adults, 19% said that they have participated in a clinical trial. You randomly select 210 U.S. adults. Find the probability that the
number who have participated in a clinical trial is (a) no fewer than 34, (b) more than 42, and (c) between 37 and 47 inclusive.
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
OA. No, because nq < 5.
OB. No, because np < 5.
OC. Yes, because both np ≥ 5 and nq ≥ 5.
(a) Find the probability that the number who have participated in a clinical trial is no fewer than 34.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
μ = 39.9
an example
Get more help -
O B.
μ = 39.9
O C.
μ = 39.9
X
✓ ✓
O D.
μ= 39.9
Q
Q
Next

Transcribed Image Text:Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate th
indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. Identify any
unusual events. Explain.
In a survey of U.S. adults, 19% said that they have participated in a clinical trial. You randomly select 210 U.S. adults. Find the probability that the
number who have participated in a clinical trial is (a) no fewer than 34, (b) more than 42, and (c) between 37 and 47 inclusive.
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
OA. No, because nq < 5.
OB. No, because np < 5.
OC. Yes, because both np ≥ 5 and nq ≥ 5.
(a) Find the probability that the number who have participated in a clinical trial is no fewer than 34.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
μ = 39.9
an example
Get more help -
O B.
μ = 39.9
O C.
μ = 39.9
X
✓ ✓
O D.
μ= 39.9
Q
Q
Next
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Step 1: Introducing the given information
VIEWStep 2: Calculating Mean and Standard deviation by using normal approximation to binomial
VIEWStep 3: Calculating the probability that the number who participated in a clinical trial is no fewer than 34
VIEWStep 4: Calculating probability that the number who participated in a clinical trial is more than 42
VIEWStep 5: Calculating probability that the number who participated in a clinical trial is between 37 and 47
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