SOLUTION: In recent year, grade 10 new york state public school students taking a geometry mathematics assessment test had a mean raw score of 41 out of 88 total possible points with a stand

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Question 758578: In recent year, grade 10 new york state public school students taking a geometry mathematics assessment test had a mean raw score of 41 out of 88 total possible points with a standard deviation of 8. Assume that the scores are normally distributed.
a) Find the probability that a student had a score between 30 and 40.
b) What percent of the students scored less than 45?
c) if 108 students took the test, how many had a test score of 49 and higher?

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Question:
In recent year, grade 10 new york state public school students taking a geometry mathematics assessment test had a mean raw score of 41 out of 88 total possible points with a standard deviation of 8. Assume that the scores are normally distributed.
a) Find the probability that a student had a score between 30 and 40.
b) What percent of the students scored less than 45?
c) if 108 students took the test, how many had a test score of 49 and higher?
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Answer:
a. Enter =normdist(40,41,8,TRUE) - normdist(30,41,8,TRUE) on EXCEL, the
result is highlight%280.3657%29.
b. Enter =normdist(45,41,8,TRUE) on EXCEL, the
result is highlight%280.6915%29 OR 69.15%.
c. Enter =108*(1 - normdist(49,41,8,TRUE)) on EXCEL, the
result is highlight%2817%29.