SOLUTION: The table below shows the number of males and females enrolled in nursing at a particular university for a recent semester. Nursing Majors Non-Nursing Majors Total M

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Question 1043338: The table below shows the number of males and females enrolled in nursing at a particular university for a recent semester.
Nursing Majors Non-Nursing Majors Total
Males 98 1053 1151
Females 741 1668 2409
Total 839 2721 3560
a) Find the probability that a random selected student is male, given that the student is a nursing major. Round to three decimal places.
b) Find the probability that a randomly selected student is a nursing major, given that the student is a male. Round to three decimal places.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The table below shows the number of males and females enrolled in nursing at a particular university for a recent semester.
Nursing Majors Non-Nursing Majors Total
Males 98 1053 1151
Females 741 1668 2409
Total 839 2721 3560
a) Find the probability that a random selected student is male, given that the student is a nursing major. Round to three decimal places.
P(male | nursing major) = p(male and nursing maj)/P(nursing major) = 98/839
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b) Find the probability that a randomly selected student is a nursing major, given that the student is a male. Round to three decimal places.
P(nurs maj | male) = 98/1151
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Cheers,
Stan H.
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