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.

A. The fastest 10% of the vehicles passing through this construction zone are going at what speed?

A) z score corresponding to top 10% area = 1.28

Hence,

Fastest 10% vehicle's speed = 46 + 1.28*4 = 51.12 miles per hour

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