ecide 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)
ecide 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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)
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 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
Transcribed Image Text:(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).
------
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
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
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman