The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 25 minutes. Answer the following questions What is the probability of completing the exam in 120 minutes or less? What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will not complete the examination in the allotted time?

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 25 minutes. Answer the following questions What is the probability of completing the exam in 120 minutes or less? What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will not complete the examination in the allotted time?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

What is the probability of completing the exam in 120 minutes or less?

What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes?

What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes?

Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will not complete the examination in the allotted time?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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