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

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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)   (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
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)
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