Problem#6 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability that a student scored below 91 on this exam? b. What is the probability that a student scored between 65 and 89? c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. Ignore part (d) of problem #6 (Book problem#6.10).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Please help step by step with Program R (CS) with a final code for understanding thank you 

Problem#6
6.10 A set of final examination grades in an introductory statistics
course is normally distributed, with a mean of 73 and a standard
deviation of 8.
a. What is the probability that a student scored below 91 on this exam?
b. What is the probability that a student scored between 65 and 89?
c. The probability is 5% that a student taking the test scores
higher than what grade?
d. If the professor grades on a curve (i.e., gives A's to the top 10%
of the class, regardless of the score), are you better off with a
grade of 81 on this exam or a grade of 68 on a different exam,
where the mean is 62 and the standard deviation is 3? Show
your answer statistically and explain.
Ignore part (d) of problem #6 (Book problem# 6.10).
Transcribed Image Text:Problem#6 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability that a student scored below 91 on this exam? b. What is the probability that a student scored between 65 and 89? c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. Ignore part (d) of problem #6 (Book problem# 6.10).
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