Question 1061917: _ Nursing_majors Non-nursing_majors Total
Males 96 1013 1109
Females 700 1724 2424
Total 796 2737 3533
(a) Find the probability that the student is male or a nursing major.
P(being male or being nursing major)= __
(Round to the nearest thousandth as needed.)
(b) Find the probability that the student is female or not a nursing major.
P(being female or not being a nursing major)=__
(Round to the nearest thousandth as needed.)
(c) Find the probability that the student is not female or a nursing major.
P(not being female or being a nursing major)=__
(Round to the nearest thousandth as needed.)
(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.
A.
No, because one can't be male and a nursing major at the same time.
B.
Yes, because one can't be male and a nursing major at the same time.
C.
No, because there are 96 males majoring in nursing.
D.
Yes, because there are 96 males majoring in nursing.
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! _ Nursing_majors Non-nursing_majors Total
Males 96 1013 1109
Females 700 1724 2424
Total 796 2737 3533
Male or a nursing major is 1109+796-both (96)=1809/0.512
Female or not a nursing major is 2424+2737-1724 (double counting)=3437/3533 (only male nursing majors are omitted. 0.973
Not a female or a nursing major leaves male non-nursing majors only, which is 1013/3533=0.287
Male and being a nursing major are not exclusive, because one can be a male and a nursing major. So the answer is C, No, they aren't mutually exclusive, because there are 96 males majoring in nursing.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
_ Nursing_majors Non-nursing_majors Total
Males 96 1013 1109
Females 700 1724 2424
Total 796 2737 3533
(a) Find the probability that the student is male or a nursing major.
P(being male or being nursing major)= __
(Round to the nearest thousandth as needed.)
(b) Find the probability that the student is female or not a nursing major.
P(being female or not being a nursing major)=__
(Round to the nearest thousandth as needed.)
(c) Find the probability that the student is not female or a nursing major.
P(not being female or being a nursing major)=__
(Round to the nearest thousandth as needed.)
(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.
A.
No, because one can't be male and a nursing major at the same time.
B.
Yes, because one can't be male and a nursing major at the same time.
C.
No, because there are 96 males majoring in nursing.
D.
Yes, because there are 96 males majoring in nursing. 
Notice that c) is the same as a).
Is this question from the Chamberlain College of Nursing Statistics course?
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