Question 4 A standardized academic test is designed to measure a student's proficiency in mathematics. It is known that for all the tests administered last year, the distribution of scores was approximately normal with a mean of 85 and a standard deviation of 10. a) Find the probability that the scores will exceed 90. Sketch the area. b) Find the probability that the scores will be less than the Sketch the area. population mean by 20 or more. c) Find the probability that the scores will be more than the population mean by at least 2 standard deviations. Sketch the area. d) If a student plans to take this test soon, what should be her score in the test so that only 10% of all applicants' scores will be higher than hers? Sketch the area.
Question 4 A standardized academic test is designed to measure a student's proficiency in mathematics. It is known that for all the tests administered last year, the distribution of scores was approximately normal with a mean of 85 and a standard deviation of 10. a) Find the probability that the scores will exceed 90. Sketch the area. b) Find the probability that the scores will be less than the Sketch the area. population mean by 20 or more. c) Find the probability that the scores will be more than the population mean by at least 2 standard deviations. Sketch the area. d) If a student plans to take this test soon, what should be her score in the test so that only 10% of all applicants' scores will be higher than hers? Sketch the area.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 4
A standardized academic test is designed to measure a
student's proficiency in mathematics. It is known that for all
the tests administered last year, the distribution of scores was
approximately normal with a mean of 85 and a standard
deviation of 10.
a) Find the probability that the scores will exceed 90.
Sketch the area.
b) Find the probability that the scores will be less than the
Sketch the area.
population mean by 20 or more.
c) Find the probability that the scores will be more than
the population mean by at least 2 standard deviations.
Sketch the area.
d) If a student plans to take this test soon, what should be
her score in the test so that only 10% of all applicants'
scores will be higher than hers? Sketch the area.
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