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?
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
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bd92b17-03bc-4747-bcee-c663e2b410a6%2F590ece75-5bab-486c-a083-9241fd4aa7bd%2Ffou6ym_processed.jpeg&w=3840&q=75)
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.
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