Probability Calculations Problems

MATH 533 Course Project ” AJ DAVIS
September 25, 2020
If your research material contains too many strong arguments both in support of and in opposition to your topic, you can limit the content by
September 26, 2020

Probability Calculations Problems

1. Many students have accumulated a large amount of debt by the time they graduate from
college. Shown below is the percentage of students graduating with debt and the average
amount of debt for students graduating with debt at four national universities and at four
liberal arts colleges (U.S. News and World Report, America”s Best Colleges, 2008).
a. If you randomly choose a graduate of Morehouse, what is the probability this indi-
vidual will have graduated with debt?
b. If you randomly choose one of these institutions for a follow-up study on student
loans, what is the probability you will choose an institution from which over 60% of
the students graduated with debt?
c. If you randomly choose one of these institutions for a follow-up study on student
loans, what is the probability you will choose an institution in which the average
amount of debt is greater than $30,000 per student graduating with debt?
d. What is the probability a student graduates from Pace without any debt?
e. For Pace University, what is the average amount of debt owed per graduating student?
f. In making probability calculations above, were you using the classical, relative frequency, or
subjective method?

National Liberal Arts
University % with Debt Amount($) College % with Debt Amount($)
Pace 72 32,980 Wartburg 83 28,758
Iowa State 69 32,130 Morehouse 94 27,000
Massachusetts 55 11,227 Wellesley 55 10,206
SUNY”Albany 64 11,856 Wofford 49 11,012