The Institute for College Access and Success reported that 67% of college students in 2008 graduated with student loan debt. A random sample of 85 graduates is drawn. a) Find the mean of the sampling distribution. b) Find the standard deviation of the sampling distribution. c) Find the probability that less than 60% of the people in the sample were in debt. d) Find the probability that more than 75% of the people in the sample were in debt.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The Institute for College Access and Success reported that 67% of college students in 2008
graduated with student loan debt. A random sample of 85 graduates is drawn.
a) Find the mean of the sampling distribution.
b) Find the standard deviation of the sampling distribution.
c) Find the probability that less than 60% of the people in the sample were in debt.
d) Find the probability that more than 75% of the people in the sample were in debt.
Transcribed Image Text:The Institute for College Access and Success reported that 67% of college students in 2008 graduated with student loan debt. A random sample of 85 graduates is drawn. a) Find the mean of the sampling distribution. b) Find the standard deviation of the sampling distribution. c) Find the probability that less than 60% of the people in the sample were in debt. d) Find the probability that more than 75% of the people in the sample were in debt.
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