In: Statistics and Probability
Let X be the number of students who attend counseling at a certain time of day. Suppose that the probability mass function is as follows p (0) = .15, p (1) = .20, p (2) = .30, p (3) = .25, and p (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 to counseling
d) What is the probability that, from one to three students, inclusive, they will come to counseling e) Obtain the average and standard deviation of the probability function. Interpret your results.