A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(x > 4) : = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Normal Distributions
A magazine reported that on average, American
drivers will be involved in 3.4 car accidents while
driving over their lifetime, with a standard
deviation of 0.68. Number of accidents for
American drivers follows a normal distribution.
Four Americans who are no longer driving were
randomly selected. What is the probability that
their average number of accidents while driving
will be larger than 4?
P(x > 4) =
For this problem, we were told that the distribution
is normal. If the shape of the distribution was not
stated, we would not have been able to use the
normal distribution table to find the probability.
What does the Central Limit Theorem tell us to do
to be able to normalize the distribution?
What is the rule of thumb for normalizing the
sampling distribution of means?
Transcribed Image Text:Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(x > 4) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman