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)      (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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