Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 mph and standard deviation 8 miles per hour. LetX 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 74 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 78 mph.

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 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 74 mph.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 78 mph.
d. 60% 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 72 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 74 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 78 mph. d. 60% of all cars travel at least how fast on the freeway? mph.
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