Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 7 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 72 mph.Answer=

c. If one of the cars is randomly chosen, find the probability that it is traveling between 78 and 84 mph.Answer=

d. 65% of all cars travel at least how fast on the freeway?Answer= mph.