# Question

A construction zone on a highway has a posted speed limit of 40 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 46 miles per hour and a standard deviation of 4 miles per hour. Find the percentage of vehicles passing through this construction zone that are

a. Exceeding the posted speed limit

b. Traveling at speeds between 50 and 57 miles per hour

a. Exceeding the posted speed limit

b. Traveling at speeds between 50 and 57 miles per hour

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