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 6% 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 2 5 and nq 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 23. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. B. Oc. D. The normal distribution cannot be use H= 18 H= 18 H= 18 to approximate the binomial distribution. 23 32 23 32 23 32 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 27. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded.
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 6% 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 2 5 and nq 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 23. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. B. Oc. D. The normal distribution cannot be use H= 18 H= 18 H= 18 to approximate the binomial distribution. 23 32 23 32 23 32 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 27. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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survey of adults found that 6% 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).
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 6% 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.
A. Yes, because both np 2 5 and nq 2 5.
B. No, because np < 5.
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 23.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
C.
D.
The normal distribution cannot be used
H= 18
H= 18
µ = 18
to approximate the binomial
distribution.
23
32
23
32
23
32
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 27.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
of
Transcribed Image Text:23
32
23
32
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 27.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
A.
В.
C.
D.
The normal distribution cannot be used to approximate the binomial
distribution.
H= 18
H= 18
µ = 18
27 32
4
27 32
27 32
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 16 and 21, inclusive.
(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 the binomial
distribution.
H= 18
H= 18
H=18
16 21
32
16 21
32
16 21
32
(d) Identify any unusual events. Explain.
A. The event in part (c) is unusual because its probability is less than 0.05.
B. The event in part (a) is unusual because its probability is less than 0.05.
C. The event in part (b) is unusual because its probability is less than 0.05.
D. There are no unusual events, because all of the probabilities are greater than 0.05.
-------
4.
O O O
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