SOLUTION: I am so confused with this one, can someone please help? The table below shows the number of male and female students enrolled in nursing at a university for certain semester. A

Algebra ->  Probability-and-statistics -> SOLUTION: I am so confused with this one, can someone please help? The table below shows the number of male and female students enrolled in nursing at a university for certain semester. A      Log On


   

Question 471486: I am so confused with this one, can someone please help?
The table below shows the number of male and female students enrolled in nursing at a university for certain semester. A student is selected at random. Complete parts (a) through (d)
Nursing Majors Non-Nursing Majors Total
Males 97 1012 1109
Females 600 1725 2325
Total 697 2737 3434
a).Find the probability that the student is a male or a nursing student
P(being male or being a nursing major)=
Round to the nearest thousand
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 thousand
c).Find the probability that the student is not female or a nursing major=
P(not being female or a nursing major) Round to the thousand.
d)Are the events “being male” and being a nursing student mutually exclusive? Explain?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

     N Majors Non-N Majors Total

Males   97      1012        1109

Females 600     1725        2325

Total   697     2737        highlight%283434%29

P(A or B) = P(A) + P(B) - P(A and B)

P(male or a nursing student) = (1109 + 697 - 97)/3434

P(student is female or not a nursing major) = 2325 + 2737 - 1725)/3434

P(not female or 'not' a nursing major) = (1109 + 2737 - 1012 )/3434

d)Are the events “being male” and being a nursing student mutually exclusive? NO

 Explain? There are males who are nursing students (97 of them)