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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