Question: 100 students took a statistics test. The following table summarizes the grade distribution by sex. Grades A, B, and C are considered Passing and

100 students took a statistics test. The following table summarizes the grade distribution by sex. Grades A, B, and C are considered Passing and D and F, Failing. A single test score is selected at random from the set of 100 scores. Male Female Total A 6 11 17 PASS B 8 13 21 C 14 17 31 D 10 5 15 FAIL F 7 9 16 Total 45 55 100 D What is the probability that the selected score is that of a female student, given that the score is a passing grade? What is the probability that the selected score is either that of a male student or a failing score, or both? If the score selected is an A, what is the probability that the score is that of a male student? If the score selected is passing, what is the probability that the score is a B?

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