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

Question

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

Explanation / Answer

Formula- P(A|B) = P(A and B)/P(B)

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

= 96/820 = 0.117

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

= 96/1228 = 0.078

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