Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 6 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(66, 6) b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. __________ c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. _____________ d. 87% of all cars travel at least how fast on the freeway?__________  mph.

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 6 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(66, 6)

b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. __________

c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. _____________

d. 87% of all cars travel at least how fast on the freeway?__________  mph.

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