77% with a standard deviation of 10%. What is the probability that the mean mark of four randomly selected students from a day class is greater than the average mark of four randomly selected students from an evening class?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An economics instructor observed that the marks in his Money and Banking course
are normally distributed. He observed that the average was 73% with a standard
deviation of 12% on the final exams in his day classes. His evening classes average
77% with a standard deviation of 10%. What is the probability that the mean mark of
four randomly selected students from a day class is greater than the average mark of
four randomly selected students from an evening class?
Do NOT use EXCEL
a) 0.6950
b) 0.4050
c) 0.3050
d) None of the answers are correct
e) 0.5050
Transcribed Image Text:An economics instructor observed that the marks in his Money and Banking course are normally distributed. He observed that the average was 73% with a standard deviation of 12% on the final exams in his day classes. His evening classes average 77% with a standard deviation of 10%. What is the probability that the mean mark of four randomly selected students from a day class is greater than the average mark of four randomly selected students from an evening class? Do NOT use EXCEL a) 0.6950 b) 0.4050 c) 0.3050 d) None of the answers are correct e) 0.5050
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