In a certain course, you takentests. If you getaiout ofbiquestions correct on testi, your cumulative average is defined to be . Given your test scores and a positive integerk, determine how high you can make your cumulative average if you are allowed to drop anykof your test scores. Suppose you take 3 tests with scores of 5/5, 0/1, and 2/6. Without dropping any tests, your cumulative average is. However, if you drop the third test, your cumulative average becomes.
In a certain course, you take n tests. If you get ai out of bi questions correct on test i, your cumulative average is defined to be . Given your test scores and a positive integer k, determine how high you can make your cumulative average if you are allowed to drop any k of your test scores. Suppose you take 3 tests with scores of 5/5, 0/1, and 2/6. Without dropping any tests, your cumulative average is . However, if you drop the third test, your cumulative average becomes .
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