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 Non-nursing majors 1116 1696 2812 Total 1216 2427 3643 Males Females Total Nursing Majors 100 731 831 (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) xB ?Type here to se

Explanation / Answer

Baye's Theorem: P(A | B) = P(A & B)/P(B)

(a) P(male | nursing major) = 100/831

= 0.120

(b) P(nursing major | male) = 100/1216

= 0.082

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