The graph illustrates the distribution of test scores taken by College Algebra students. The maximumpossible score on the test was 130, while the mean score was 76 and the standard deviation was 12.4052647688100112Distribution of Test ScoresWhat is the approximate percentage of students who scored between 64 and 76?What is the approximate percentage of students who scored lower than 40 on the test?What is the approximate percentage of students who scored between 76 and 112 on the test?What is the approximate percentage of students who scored between 52 and 100 on the test?> Next Questionre to searchPrF3F4F5F6F7F8F9F10F11F122$&3568.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The graph illustrates the distribution of test scores taken by College Algebra students. The maximum
possible score on the test was 130, while the mean score was 76 and the standard deviation was 12.
40
52
64
76
88
100
112
Distribution of Test Scores
What is the approximate percentage of students who scored between 64 and 76?
What is the approximate percentage of students who scored lower than 40 on the test?
What is the approximate percentage of students who scored between 76 and 112 on the test?
What is the approximate percentage of students who scored between 52 and 100 on the test?
> Next Question
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Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Given:

Mean, $μ$ =76

Standard deviation, $σ$ =12

$X ~ N (76, 12)$

(a) Percentage of student who scored between 64 and 76:

$P (64 < X < 76) = P (\frac{64 - 76}{12} < \frac{X - μ}{σ} < \frac{76 - 76}{12}) = P (- 1 < Z < 0) = P (Z < 0) - P (Z < - 1) = 0.5000 - 0.1587 = 0.3413 = 34.13 %$

Hence, percentage of student who scored between 64 and 76 is 34.13%.

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