Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. If one car is randomly chosen, find the probability that it is traveling more than 71 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 73 mph. d. 75% of all cars travel at least how fast on the freeway?

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
Suppose that the speed at which cars go on the freeway is normally
distributed with mean 70 mph and standard deviation 8 miles per
hour. Let X be the speed for a randomly selected car. Round all
answers to 4 decimal places where possible.
a. What is the distribution of X? X - N
b. If one car is randomly chosen, find the probability that it is
traveling more than 71 mph.
c. If one of the cars is randomly chosen, find the probability that it
is traveling between 69 and 73 mph.
d. 75% of all cars travel at least how fast on the freeway?
mph.
Transcribed Image Text:Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. If one car is randomly chosen, find the probability that it is traveling more than 71 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 73 mph. d. 75% of all cars travel at least how fast on the freeway? mph.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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.
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