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.

Nursing Majors Non-nursing majors Total

Males 99 1110 1209

Females 707 1606 2313

Total 806 2716 3522

(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) P(male/nursing major) = P(Male and nursing major) / P(nursing major) = (99/3522) / (806/3522) = 0.12283

b) P(nursing major / male) = P(nursing major and male) / P(Male) = (99/3522) / (1209/3522) = 0.0819

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