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

a. It is required to find P(male|nursing major). Use column marginal to compute the require dprobability.

P(male|nursing major)=# of males in nursing major/ total student in nursing major

=91/823=0.1106 (ans)

b. P(nursing major|male)=# of males in nursing major/ total male students

=91/1204=0.0756 (ans)

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