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 400 adults and ask them to name their favorite sport. Complete parts (a) through (d).
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 400 adults and ask them to name their favorite sport. Complete parts (a) through (d).
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 400 adults and ask them to name their favorite sport. Complete parts (a) through (d).
Transcribed Image Text:Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
A. Yes, because both np 25 and nq 2 5.
B. No, because nq < 5.
C. No, because np < 5.
(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 34.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
A.
В.
OC.
D.
The normal distribution cannot be used to approximate
H= 28
µ= 28
H= 28
the binomial distribution.
11
34
45
11
34
45
11
34
45
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 37.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
Ос.
D.
The normal distribution cannot be used to approximate
H= 28
H= 28
µ= 28
the binomial distribution.
11
37 45
11
37 45
11
37 45
Click to select your answer(s).
Transcribed Image Text:Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
Ос.
D.
H=28
H= 28
H= 28
The normal distribution cannot be used to approximate
the binomial distribution.
11
37 45
11
37 45
11
37 45
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 25 and 32, inclusive.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
OA.
Ов.
Oc.
O D.
µ = 28
H=28
µ= 28
The normal distribution cannot be used to approximate
the binomial distribution.
11
25
32
45
11
25 32
45
11
25
32
45
(d) Identify any unusual events. Explain.
O A. The event in part (c) is unusual because its probability is less than 0.05.
B. The event in part (b) is unusual because its probability is less than 0.05.
O C. The event in part (a) is unusual because its probability is less than 0.05.
O D. There are no unusual events. because all of the probabilities are areater than 0.05.
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