The time needed to complete a math examination is bell-shaped with a mean of 120 minutes and a standard deviation of 5 minutes. a) What percentage of students will complete the exam in 105 minutes or less? b) Assume that the class has 200 students and that the examination period is 130 minutes in length. How many students do you expect will not be able to complete the exam in the allotted time? Round answer to the nearest whole number. c) A student is classified as extremely "efficient" if the amount of time spent on the exam is the lowest 2.5% for the distribution. What is the upper limit for the time it takes an extremely "efficient" student to finish the exam? minutes

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...
icon
Related questions
Question
The time needed to complete a math examination is bell-shaped with a mean of 120
minutes and a standard deviation of 5 minutes.
a) What percentage of students will complete the exam in 105 minutes or less?
b) Assume that the class has 200 students and that the examination period is 130
minutes in length. How many students do you expect will not be able to complete the
exam in the allotted time? Round answer to the nearest whole number.
C) A student is classified as extremely "efficient" if the amount of time spent on the
exam is the lowest 2.5% for the distribution. What is the upper limit for the time it takes
an extremely "efficient" student to finish the exam?
minutes
Transcribed Image Text:The time needed to complete a math examination is bell-shaped with a mean of 120 minutes and a standard deviation of 5 minutes. a) What percentage of students will complete the exam in 105 minutes or less? b) Assume that the class has 200 students and that the examination period is 130 minutes in length. How many students do you expect will not be able to complete the exam in the allotted time? Round answer to the nearest whole number. C) A student is classified as extremely "efficient" if the amount of time spent on the exam is the lowest 2.5% for the distribution. What is the upper limit for the time it takes an extremely "efficient" student to finish the exam? minutes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON