SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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       Log On


   



Question 1043360: 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

Nursing Majors Non nursing majors Total
Males 98 1141 1239
Females 742 1672 2396
Total 822 2813 3635

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Males 98 1141 1239
Females 742 1672 2414 (notice the change--addition error in problem)
Total 840 2813 3653 (change here, too)
Given that a student is a nursing major (840), the probability the student is male is 98/840 or 0.117
Given that a student is male (1239) the probability the student is a nursing major is 98/1239 or 0.079