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The table below shows the number of male and female students enrolled in nursing

ID: 3178904 • Letter: T

Question

The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is (Round to three decimal places as needed.)

Explanation / Answer

a) P(male | nursing major) = P(male and nursing major) / P(nursing major)

                                          = (98/3595) / (834/3595)

                                          = 98/834

                                          = 0.118

b) P(nursing major | male) = P(male and nursing major) / P(male)

                                          = (98/3595) / (1203/3595)

                                          = 98/1203

                                          = 0.081

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