AMC 10 Score
Ephram takes the AMC 10 which is a 25 question test that awards 6 points for a correct answer, 1.5 points for an answer left blank, and 0 points for an incorrect answer. The probability that Ephram solves problem on the AMC 10 is and he puts in an answer for every question. What is the expected number of points he will get?
The answer is 75.
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1 solution
The expected number of questions he will get correct is 2 6 2 5 + 2 4 + 2 3 + ⋯ + 3 + 2 + 1 = 2 6 1 3 ∗ 2 5 = 1 2 . 5 thus the expected number of points he will get is 1 2 . 5 ∗ 6 = 7 5