The time needed to complete an exam in a college campus is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions.a. What is the probability of completing the exam in one hour or less?b. What is the probability that a student will complete the exam in more than 60 minutes and less than 75 minutes?c. Assume the class has 60 students and the exam period is 90 minutes in length. How many students do you expect will be able to complete the exam in the allotted time?

Question
Asked Jan 29, 2020
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The time needed to complete an exam in a college campus is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions.

a. What is the probability of completing the exam in one hour or less?

b. What is the probability that a student will complete the exam in more than 60 minutes and less than 75 minutes?

c. Assume the class has 60 students and the exam period is 90 minutes in length. How many students do you expect will be able to complete the exam in the allotted time?

 

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Expert Answer

Step 1

Given Data

Mean = 80

Standard Deviation = 10

a)

Probability of completing the exam in one hour or less

Probability homework question answer, step 1, image 1
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Step 2

b) probability that a student will complete the exam in more than 60 minutes and less than 75 minutes is given by

Probability homework question answer, step 2, image 1
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Step 3

c)

Exam period length is 90 minutes

Probability of completing the e...

Probability homework question answer, step 3, image 1
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