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. ... O A. Yes, because both np25 and ng 2 5. O B. No, because np <5 O C. No, because nq < 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. OA. O B. Oc. OD. The normal distribution cannot be used to approximate H=21 21 u21 the binomial distribution, 26 26 36 (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. OB. Oc. OD. The normal distribution cannot be used to approximate the binomial distribution. =21 H21 H=21 29 36 29 36 (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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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.
O A. Yes, because both np 25 and ng 2 5.
O B. No, because np < 5.
O C. 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
O B.
Oc.
OD.
=21
H21
The normal distribution cannot be used to approximate
the binomial distribution,
u-21
26
26 36
(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
H=21
21
29 36
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive.
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. O A. Yes, because both np 25 and ng 2 5. O B. No, because np < 5. O C. 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 O B. Oc. OD. =21 H21 The normal distribution cannot be used to approximate the binomial distribution, u-21 26 26 36 (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 H=21 21 29 36 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 19 and 24, inclusive.
Use thẻ 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.
O A.
O B.
Oc.
OD.
H=21
H=21
H=21
The normal distribution cannot be used to approximate
the binomial distribution.
29 36
29 36
29 36
(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.
O B.
Oc.
Oc.
OD.
21
H21
The normal distribution cannot be used to approximate
binomial distribution.
H=21
619 24
36
19 24 36
19 24
(d) Identify any unusual events. Explain.
OA. The event in part (a) is unusual because its probability is less than 0.05.
O B. 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.
O D. There are no unusual events, because all of the probabilities are greater than 0.05.
Transcribed Image Text:Use thẻ 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. O A. O B. Oc. OD. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 29 36 29 36 29 36 (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. O B. Oc. Oc. OD. 21 H21 The normal distribution cannot be used to approximate binomial distribution. H=21 619 24 36 19 24 36 19 24 (d) Identify any unusual events. Explain. OA. The event in part (a) is unusual because its probability is less than 0.05. O B. 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. O D. There are no unusual events, because all of the probabilities are greater than 0.05.
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