Question

Let X be the number of students who show up for a professor’s office hour on a particular day. Suppose that the pmf of X is p(0)=.20,p(1)=.25,p(2)=.30,p(3)=.15,p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4)=.10p(4) = .10. What is the probability that the professor shows up?

Solution

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Given:

p(0)=0.20p(0)=0.20

p(1)=0.25p(1)=0.25

p(2)=0.30p(2)=0.30

p(3)=0.15p(3)=0.15

p(4)=0.10p(4)=0.10

XX represents the number of students who show up for a professor's office hour on a particular day.

The probability that the professor shows up cannot be determined, because the variable XX only describes the probability for students and NOT for the professor.

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