Amos and Andy are students with the same ability. The potential grade that each of them would receive on a test has a normal distribution with mean 90 and standard deviation 3. Their grades are independent of each other. What is the probability that Andy scores at least 5 points higher than Amos on the test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Amos and Andy are students with the same ability. The potential grade that each of them would receive on a
test has a normal distribution with mean 90 and standard deviation 3. Their grades are independent of each
other. What is the probability that Andy scores at least 5 points higher than Amos on the test?
Transcribed Image Text:Amos and Andy are students with the same ability. The potential grade that each of them would receive on a test has a normal distribution with mean 90 and standard deviation 3. Their grades are independent of each other. What is the probability that Andy scores at least 5 points higher than Amos on the test?
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