Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d). 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 of people who say auto racing is their favorite sport is at most 26. Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OD. The normal distribution cannot be used to approximate the binomial distribution OB. 21 21 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. Oc OD. The normal distribution cannot be used to approximate the binomial distribution (c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d).
-
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
OD.
The normal distribution cannot be used to approximate
the binomial distribution.
OA.
OB.
O B.
Oc.
21
21
=21
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A
OB.
Oc.
OD.
The normal distribution cannot be used to approximate
21
21
the binomial distribution.
19 24
19 24
(d) Identify any unusual events. Explain.
O A The event in part (a) is unusual because its probability is less than 0.05.
OB. The event in part (b) is unusual because its probability is less than 0.05
OC. The event in part (c) is unusual because its probability is less than 0.05.
OD. There are no unusual events, because all of the probabilities are greater than 0.05.
Transcribed Image Text:Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d). - (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. OD. The normal distribution cannot be used to approximate the binomial distribution. OA. OB. O B. Oc. 21 21 =21 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A OB. Oc. OD. The normal distribution cannot be used to approximate 21 21 the binomial distribution. 19 24 19 24 (d) Identify any unusual events. Explain. O A The event in part (a) is unusual because its probability is less than 0.05. OB. The event in part (b) is unusual because its probability is less than 0.05 OC. The event in part (c) is unusual because its probability is less than 0.05. OD. There are no unusual events, because all of the probabilities are greater than 0.05.
Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d).
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
OA. Yes, because both np 2 5 and ng 2 5.
OB. No, because np <5.
OC. No, because ng <5.
(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 26.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A
OB.
O B.
Oc.
OD.
The normal distribution cannot be used to approximate
21
21
p21
the binomial distribution.
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A
O B.
Oc.
OD.
The normal distribution cannot be used to approximate
the binomial distribution.
21
p21
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive.
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Transcribed Image Text:Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. OA. Yes, because both np 2 5 and ng 2 5. OB. No, because np <5. OC. No, because ng <5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 26. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A OB. O B. Oc. OD. The normal distribution cannot be used to approximate 21 21 p21 the binomial distribution. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A O B. Oc. OD. The normal distribution cannot be used to approximate the binomial distribution. 21 p21 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive. StatCrunch Submit Quiz
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