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 select400 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 nq < 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.OA.В.OC.H= 28D.H= 28H= 28The normal distribution cannot be used to approximate thebinomial distribution.113445113445113445(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.H=28D.H= 28H= 28The normal distribution cannot be used to approximate thebinomial distribution.1137 451137 451137 45of (c) Find the probability that the number of people who say auto racing is their favorite sport is between 25 and 30, inclusive.|(Round to four decimal places as needed.)Sketch the graph of the normal distribution with the indicated probability shaded.O A.В.C.O D.µ= 28H= 28H= 28The normal distribution cannot be used to approximate thebinomial distribution.X1125 30451125 30451125 3045(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 (b) is unusual because its probability is less than 0.05.C. The event in part (a) 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.Click to select your answer(s).------

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MATLAB: An Introduction with Applications

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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)

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 nq < 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.
OA.
В.
OC.
H= 28
D.
H= 28
H= 28
The normal distribution cannot be used to approximate 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.
H=28
D.
H= 28
H= 28
The normal distribution cannot be used to approximate the
binomial distribution.
11
37 45
11
37 45
11
37 45
of

(c) Find the probability that the number of people who say auto racing is their favorite sport is between 25 and 30, inclusive.
|(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
C.
O D.
µ= 28
H= 28
H= 28
The normal distribution cannot be used to approximate the
binomial distribution.
X
11
25 30
45
11
25 30
45
11
25 30
45
(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 (b) is unusual because its probability is less than 0.05.
C. The event in part (a) 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.
Click to select your answer(s).
------

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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