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The table below shows the number of male and female

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

females 97 1014 1111

males 700 1725 2425

total 797 2739 3536

(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 one​ can’t be male and a nursing major at the same time.

B. ​No, because there are 97 males majoring in nursing..

C. ​No, because one​ can’t be male and a nursing major at the same time.

D. ​Yes, because there are 97 males majoring in nursing.

 
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