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Let X be the number of students who attend counseling at a certain time of day....

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Statistics

Let X be the number of students who attend counseling at acertain time of day. Suppose that the probability mass function isas follows p (0) = .15, p (1) = .20, p (2) = .30, p (3) = .25, andp (4) = .10. Determine:

a) Is this a valid probability mass function? Why?

b) Obtain the cumulative probability function

c) What is the probability that at least two students come tocounseling

d) What is the probability that, from one to three students,inclusive, they will come to counseling e) Obtain the average andstandard deviation of the probability function. Interpret yourresults.

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