Question 4 (a) At a certain community college, the time that is required by candidates to complete the general knowledge competency examination is normally distributed with a mean of 57.5 minutes and a standard deviation of 6 minutes. Find the probability that a candidate takes between 56 minutes and 1 hour to complete the examination.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 4
(a) At a certain community college, the time that is required by candidates to complete the
general knowledge competency examination is normally distributed with a mean of 57.5
minutes and a standard deviation of 6 minutes. Find the probability that a candidate takes
between 56 minutes and 1 hour to complete the examination.
(b) The waiting time X, at a certain queue is approximately normal distributed with mean 2.8
minutes and a standard deviation of 0.9 minutes. Find the probability that a randomly
selected customer has to wait
() less than 2 minutes.
(i) more than 3 minutes.
(i) The value of the 75" percentile for X.
Transcribed Image Text:Question 4 (a) At a certain community college, the time that is required by candidates to complete the general knowledge competency examination is normally distributed with a mean of 57.5 minutes and a standard deviation of 6 minutes. Find the probability that a candidate takes between 56 minutes and 1 hour to complete the examination. (b) The waiting time X, at a certain queue is approximately normal distributed with mean 2.8 minutes and a standard deviation of 0.9 minutes. Find the probability that a randomly selected customer has to wait () less than 2 minutes. (i) more than 3 minutes. (i) The value of the 75" percentile for X.
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