The average mark (out of 100) of a class of 300 students on a statistics examination is 68.2 with standard deviation 9.2. Suppose random sample of marks of 40 students is selected. What is the probability that the sample mean will be (a)  less than 65? (b)  more than 72?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The average mark (out of 100) of a class of 300 students on a statistics examination is 68.2 with
standard deviation 9.2. Suppose random sample of marks of 40 students is selected. What is the probability that
the sample mean will be
(a)  less than 65?
(b)  more than 72?

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