Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X~ N( 76 ✓ 6 b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. Round to 4 decimal places.

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and
standard deviation 6 miles per hour. Let X be the speed for a randomly selected car.
a. What is the distribution of X? X N 76
✓ 6
b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4
decumal places.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph.
Round to 4 decimal places.
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Transcribed Image Text:Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X N 76 ✓ 6 b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. Round to 4 decimal places. Question Help: Written Example Message instructor Submit Question a
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