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A STAT 230 lecture is scheduled to last 50 minutes. There is, however, some variation in this. I estimate that the length of my lectures are approximately normally distributed, with mean 50 minutes and variance 1. A term consists of 36 lectures, and you may assume the length of each lecture is independent of the others. What is the probability a randomly chosen lecture lasts between 49 and 51 minutes? What is the probability more than 2 lectures across the entire term last less than 49 minutes? What is the expected number of lectures, each term, that last longer than 51 minutes?

A STAT 230 lecture is scheduled to last 50 minutes. There is, however, some variation in this. I estimate that the length of my lectures are approximately normally distributed, with mean 50 minutes and variance 1. A term consists of 36 lectures, and you may assume the length of each lecture is independent of the others. What is the probability a randomly chosen lecture lasts between 49 and 51 minutes? What is the probability more than 2 lectures across the entire term last less than 49 minutes? What is the expected number of lectures, each term, that last longer than 51 minutes?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A STAT 230 lecture is scheduled to last 50 minutes. There is, however, some variation in this. I estimate that the length of my lectures are approximately normally distributed, with mean 50 minutes and variance 1. A term consists of 36 lectures, and you may assume the length of each lecture is independent of the others. What is the probability a randomly chosen lecture lasts between 49 and 51 minutes? What is the probability more than 2 lectures across the entire term last less than 49 minutes? What is the expected number of lectures, each term, that last longer than 51 minutes?
Transcribed Image Text:A STAT 230 lecture is scheduled to last 50 minutes. There is, however, some variation in this. I estimate that the length of my lectures are approximately normally distributed, with mean 50 minutes and variance 1. A term consists of 36 lectures, and you may assume the length of each lecture is independent of the others. What is the probability a randomly chosen lecture lasts between 49 and 51 minutes? What is the probability more than 2 lectures across the entire term last less than 49 minutes? What is the expected number of lectures, each term, that last longer than 51 minutes?
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