The scores on a test are normally distributed with an average (mean) of 72 and a standard deviation of 4 points.   A. What is the probability that a test score is greater than 80?   B. What is the probability that a test score is less than 67?   C. What is the probability that a score is between 70 and 80?   D. What score is the grade at which 10% of scores are lower than other scores?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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  1. The scores on a test are normally distributed with an average (mean) of 72 and a standard

deviation of 4 points.

 

A. What is the probability that a test score is greater than 80?

 

B. What is the probability that a test score is less than 67?

 

C. What is the probability that a score is between 70 and 80?

 

D. What score is the grade at which 10% of scores are lower than other scores?

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