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Student Debt. The Association of American Universities published a report titled “Looking More Closely at Student Debt.” This report explores the issue about the cost of a college education and its impact on student loan debt. Using information from a credit reporting company, the following table provides a percentage distribution for the loan balance of outstanding student loans from individuals with graduate, professional, and undergraduate degree debt.
Loan balance | Percentage |
$1–$10,000 | 43.1 |
$10,001–$25,000 | 29.2 |
$25,001–$50,000 | 16.5 |
$50,001–$75,000 | 5.8 |
$75,001–$100,000 | 2.3 |
$100,001 or more | 3.1 |
Suppose that one of these individuals is selected at random.
- a. Without using the general addition rule, determine the probability that the individual obtained has a loan balance either between $10,001 and $100,000, inclusive, or at most $75,000.
- b. Obtain the probability in part (a) by using the general addition rule.
- c. Which method did you find easier?
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