A mathematics department has both an undergraduate and graduate program. Their undergraduate program has 59 men and 31 women. Their graduate program has 21 men and 12 women. Assume a random student from the mathematics department is selected: What is the probability that the student is a male or is in the undergraduate program? Select one: a. 90.249 b. 73.179 c. 42.28% d. 59.40% A mathematics department has both an undergraduate and graduate program. Their undergraduate program has 59 men and 31 women. Their graduate program has 21 men and 12 women. Assume a random student from the mathematics department is selected: What is the probability that the student is in the graduate program given that they are a female? Select one: a. 38.71% b. 27.91% c. 63.64% d. 76.749
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We can use the formula: P(male or undergraduate) = P(male) + P(undergraduate) - P(male and undergraduate) We know that there are 59 men in the undergraduate program and 21 men in the graduate program, so the total number of men in the mathematics department is Show more…
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A mathematics department has both an undergraduate and graduate program. Their undergraduate program has 59 men and 31 women. Their graduate program has 21 men and 12 women. Assume a random student from the mathematics department is selected. What is the probability that the student is male given they are in the undergraduate program?
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A graduate statistics course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female? Let A represent the event that the first student is female. P(A) = 3/10 = 0.30. What about the second student? Let B represent the event that the second student is female. P(B | A) = 2/9. That is, the probability of choosing a female student given that the first student chosen is female is equal to 2 (females) / 9 (remaining students) = 2/9. Is the probability 2/9 for event B because there are only 2 females left out of the possible 9 students? Or is it 2/9 because the event B is that the second student is female?
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