## Related questions with answers

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 $p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15,$ and $p(4) = .10$. What is the probability that the professor shows up?

Solution

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1 of 3Given:

$p(0)=0.20$

$p(1)=0.25$

$p(2)=0.30$

$p(3)=0.15$

$p(4)=0.10$

$X$ 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 $X$ only describes the probability for students and NOT for the professor.

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