Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 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 82 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 70 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 82 mph. 

c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 78 mph. 

d. 97% of all cars travel at least how fast on the freeway? Round to a whole number.  mph

Expert Solution
Step 1

Let X be the speed form normal distribution with mean (μ) = 70 and standard deviation      (σ) = 8

 

 

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