Assume the speed of vehicles along a stretch of I-10 has anapproximately normal distribution with a mean of 71 mph and a standard deviationof 8 mph.a. The current speed limit is 65 mph. What is the proportion ofvehicles less than or equal to the speed limit?b. What proportion of the vehicles would be going less than 50mph?c. A new speed limit will be initiated such that approximately 10%of vehicles will be over the speed limit. What is the new speed limit based onthis criterion?d. In what way do you think the actual distribution of speedsdiffers from a normal distribution?
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