Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 5 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 66 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 5 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 66 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph.
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
![Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and
standard deviation 5 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 66 mph.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph.
d. 60% of all cars travel at least how fast on the freeway?
mph.
Hint:
Helpful videos:
• Find a Probability [+]
Finding a Value Given a Probability 2 [+]
Hint
Submit Question
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Transcribed Image Text:Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and
standard deviation 5 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 66 mph.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph.
d. 60% of all cars travel at least how fast on the freeway?
mph.
Hint:
Helpful videos:
• Find a Probability [+]
Finding a Value Given a Probability 2 [+]
Hint
Submit Question
17,217
6.
NOV
PAGES
17
étv
W
MacBook Air
吕0
888
DII
DD
D00
F1
F2
F3
F4
F5
F6
F7
F8
....
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