Nursing majors Non-nursing majors Total Males 96 1108 Females 600 1724 2324 Tota
ID: 3432898 • Letter: N
Question
Nursing majors
Non-nursing majors
Total
Males
96
1108
Females
600
1724
2324
Total
696
2736
3432
The table above 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).
(a) Find the probability that the student is male or a nursing major.
(b) Find the probability that the student is female or not a nursing major
(c) Find the probability that the student is not female or a nursing major.
(d) Are the events "being male" and "being a nursing major" mutually exclusive? explain
Nursing majors
Non-nursing majors
Total
Males
96
10121108
Females
600
1724
2324
Total
696
2736
3432
Explanation / Answer
(a) Find the probability that the student is male or a nursing major.
P(male or a nursing major) = P(male) + P(nursing major) - P(both)
=1108/3432 + 696/3432 - 96/3432
=0.497669
---------------------------------------------------------------------------------------------------------------
(b) Find the probability that the student is female or not a nursing major
P(female or not a nursing major) = P(female) + P(not a nursing major) - P(both)
=2324/3432 + 2736/3432 - 1724/3432
=0.972028
---------------------------------------------------------------------------------------------------------------
(c) Find the probability that the student is not female or a nursing major.
P(not female or a nursing major) = P(not female) + P(a nursing major) - P(both)
=0.497669
---------------------------------------------------------------------------------------------------------------
(d) Are the events "being male" and "being a nursing major" mutually exclusive? explain
No, because P(being male and being a nursing major) is not equal to 0
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.