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. No, because nq < 5.B. Yes, because both np >5 and nq 2 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.H= 28C.D.H=28H= 28The normal distribution cannot be used to approximate the binomial distribution.3445113445113445(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 38.(Round to four decimal places as needed.)Sketch the graph of the normal distribution with the indicated probability shaded.O A.В.H= 28OC.H= 28D.H= 28The normal distribution cannot be used to approximate the binomial distribution.38 451138 451138 45(c) Find the probability that the number of people who say auto racing is their favorite sport is between 26 and 32, inclusive.(Round to four decimal places as needed.)of Sketch the graph of the normal distribution with the indicated probability shaded.A.В.C.D.H= 28H= 28H= 28The normal distribution cannot be used to approximate the binomial distribution.1126 32451126 32451126 3245(d) Identify any unusual events. Explain.A. The event in part (b) is unusual because its probability is less than 0.05.B. The event in part (c) 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.-------------

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: Determine whether a normal distribution…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

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. No, because nq < 5.
B. Yes, because both np >5 and nq 2 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.
H= 28
C.
D.
H=28
H= 28
The normal distribution cannot be used to approximate the binomial distribution.
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 38.
(Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded.
O A.
В.
H= 28
OC.
H= 28
D.
H= 28
The normal distribution cannot be used to approximate the binomial distribution.
38 45
11
38 45
11
38 45
(c) Find the probability that the number of people who say auto racing is their favorite sport is between 26 and 32, inclusive.
(Round to four decimal places as needed.)
of

Sketch the graph of the normal distribution with the indicated probability shaded.
A.
В.
C.
D.
H= 28
H= 28
H= 28
The normal distribution cannot be used to approximate the binomial distribution.
11
26 32
45
11
26 32
45
11
26 32
45
(d) Identify any unusual events. Explain.
A. The event in part (b) is unusual because its probability is less than 0.05.
B. The event in part (c) 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.
-------------

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc