The time required to complete a school achievement test was found to be normally distributed, with a mean of 90 minutes and a standard deviation of 25 minutes. What proportion of the students will finish in 2 hours (120 minutes)? When should the test be terminated to allow just enough time for 95% of the students to complete the test?

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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The time required to complete a school achievement test was found to be normally distributed, with a mean of 90 minutes and a standard deviation of 25 minutes.

  1. What proportion of the students will finish in 2 hours (120 minutes)?
  2. When should the test be terminated to allow just enough time for 95% of the students to complete the test?
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