Question

3)The following gives a two way classification of all the faculty members of   a university based...

3)The following gives a two way classification of all the faculty members of   a university based on gender and tenure.                            

Tenured                Non-tenured

                                       Male                         36                              24

                                       Female                      24                             16

If one of these faculty members is selected at random, find the following probabilities.

a. P (male or non-tenured)  

b. P(female and tenured)

c. P(female given that the person is non-tenured)

d. Are the events " tenured" and " male " independent ? Explain why or why not .

e. Are the events " tenured" and " non-tenured " mutually exclusive ? Explain why or why not .

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