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Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 10 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( 70 10 b. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. 0.6554 c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 0.1156 d. 86% of all cars travel at least how fast on the freeway? mph.

Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 10 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( 70 10 b. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. 0.6554 c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 0.1156 d. 86% of all cars travel at least how fast on the freeway? mph.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 10 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( 70 10 b. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. 0.6554 c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 0.1156 d. 86% 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 10 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( 70 10 b. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. 0.6554 c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 0.1156 d. 86% of all cars travel at least how fast on the freeway? mph.
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