The table below shows the number of male and female students enrolled In nursing
ID: 3154199 • Letter: T
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
(a)The probability that a randomly selected student is a male given that the student is a nursing major is:
P(Male given nursing major)
=P(Male and nursing major)/P(Major)
=91/3614/(816/3614)
=0.11
(b)The probability that a randomly selected student is a male given that the student is a nursing major is:
P(nursing major given male)
=P(Male and nursing major)/P(Male)
=91/3614/(1202/3614)
=0.075
=0.11
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