3. A construction zone on a highway has a posted speed limit of 50 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 50 miles per hour and a standard deviation of 3 miles per hour. Find the percentage of vehicles passing though this construction zone that are (a) exceeding the posted speed limit (b) travelling at speeds between 50 to 60 miles per hour.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. A construction zone on a highway has a posted speed limit of 50 miles per hour. The speeds of
vehicles passing through this construction zone are normally distributed with a mean of 50 miles
per hour and a standard deviation of 3 miles per hour. Find the percentage of vehicles passing
though this construction zone that are
(a) exceeding the posted speed limit
(b) travelling at speeds between 50 to 60 miles per hour.
Transcribed Image Text:3. A construction zone on a highway has a posted speed limit of 50 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 50 miles per hour and a standard deviation of 3 miles per hour. Find the percentage of vehicles passing though this construction zone that are (a) exceeding the posted speed limit (b) travelling at speeds between 50 to 60 miles per hour.
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