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. (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.) (b) 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

Solution:-

Conditional probability = P(A l B) = P(A and B) / P(B)

(a) P(male given the student is a nursing major) = 90 / 798 = 0.1127819 or 0.113

(b) P(nursing major given student is male) = 90 / 1186 = 0.075885 or 0.076

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