The table below shows the number of male and female students enrolled in nursing
ID: 3171501 • Letter: T
Question
The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d).
Nursing majors
Non-nursing majors
Total
Males
98
1015
1113
Females
700
1726
2426
Total
798
2741
3539
(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. Yes, because there are 98 males majoring in nursing.
B. No, because there are 98 males majoring in nursing.
C. Yes, because one can't be male and a nursing major at the same time.
D.No, because one can't be male and a nursing major at the same time.
Nursing majors
Non-nursing majors
Total
Males
98
1015
1113
Females
700
1726
2426
Total
798
2741
3539
Explanation / Answer
A) P(being male or being nursing major) = (1113+798-98)/3539 = 0.512
B) P(being female or not being nursingmajor) = (2426+1015)/3539 = 0.972
c) P( not being female or nursing major) = 1015/3539 = 0.289
d) B. No because there are 98 males majoring in nursing
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