Suppose 150 people take a quiz, and say the mean score was a 100 out of 200 points, with a standard deviation of 40. Suppose the scores are distributed in a normal probability distribution. Approximately how many people got above a 180? What is the probability that someone got between a 91 and 157 on the quiz? (round your answer to three digits after the decimal).

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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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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Suppose 150 people take a quiz, and say the mean score was a 100 out of 200 points, with a standard deviation of 40.
Suppose the scores are distributed in a normal probability distribution. Approximately how many people got above a 180?
What is the probability that someone got between a 91 and 157 on the quiz? (round your answer to three digits after
the decimal).
Transcribed Image Text:Suppose 150 people take a quiz, and say the mean score was a 100 out of 200 points, with a standard deviation of 40. Suppose the scores are distributed in a normal probability distribution. Approximately how many people got above a 180? What is the probability that someone got between a 91 and 157 on the quiz? (round your answer to three digits after the decimal).
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The provided information is:

Probability homework question answer, step 1, image 1

Step 2

Consider that N is defined as the number of people who got more than 180 scores in the quiz.

Probability homework question answer, step 2, image 1

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