A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 72 and a standard deviation of 8. Complete parts (a) through (d). a. What is the probability that a student scored below 87 on this exam? The probability that a student scored below 87 is 0.9696 (Round to four decimal places as needed.) b. What is the probability that a student scored between 64 and 93? The probability that a student scored between 64 and 93 is 0.8370 (Round to four decimal places as needed.) c. The probability is 15% that a student taking the test scores higher than what grade? The probability is 15% that a student taking the test scores higher than 80. (Round to the nearest integer as needed.) d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 88 on the exam with a mean of 72 and a standard deviation of 8 or a grade of 72 on a different exam, where the mean is 69 and the standard deviation is 3? Show your answer statistically and explain. A student is ▼with a grade of 88 on the exam with a mean of 72 and a standard deviation of 8 because the Z value for the grade of 88 is and the Z value for the grade of 72 on the different exam is (Round to two decimal places as needed.)
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 72 and a standard deviation of 8. Complete parts (a) through (d). a. What is the probability that a student scored below 87 on this exam? The probability that a student scored below 87 is 0.9696 (Round to four decimal places as needed.) b. What is the probability that a student scored between 64 and 93? The probability that a student scored between 64 and 93 is 0.8370 (Round to four decimal places as needed.) c. The probability is 15% that a student taking the test scores higher than what grade? The probability is 15% that a student taking the test scores higher than 80. (Round to the nearest integer as needed.) d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 88 on the exam with a mean of 72 and a standard deviation of 8 or a grade of 72 on a different exam, where the mean is 69 and the standard deviation is 3? Show your answer statistically and explain. A student is ▼with a grade of 88 on the exam with a mean of 72 and a standard deviation of 8 because the Z value for the grade of 88 is and the Z value for the grade of 72 on the different exam is (Round to two decimal places as needed.)
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:A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 72 and a standard deviation of 8. Complete parts (a) through (d).
.a. What is the probability that a student scored below 87 on this exam?
The probability that a student scored below 87 is 0.9696.
(Round to four decimal places as needed.)
b. What is the probability that a student scored between 64 and 93?
The probability that a student scored between 64 and 93 is 0.8370
(Round to four decimal places as needed.)
c. The probability is 15% that a student taking the test scores higher than what grade?
The probability is 15% that a student taking the test scores higher than 80
(Round to the nearest integer as needed.)
d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 88 on the exam with a mean of 72 and a standard deviation of 8 or a grade of 72 on a different exam, where
the mean is 69 and the standard deviation is 3? Show your answer statistically and explain.
A student is
▼with a grade of 88 on the exam with mean of 72 and a standard deviation of 8 because the Z value for the grade of 88 is and the Z value for the grade of 72 on the different exam is
(Round to two decimal places as needed.)
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