An ofce has four copying machines, and the random variable

Chapter 2, Problem 2.1.1

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An ofce has four copying machines, and the random variable X measures how many of them are in use at a particular moment in time. Suppose that P(X =0) =0.08, P(X =1) =0.11, P(X =2) =0.27, and P(X =3) =0.33. (a) What is P(X =4)? (b) Draw a line graph of the probability mass function. (c) Constructandplotthecumulativedistributionfunction. (This problem is continued in 2.3.1 and 2.4.2.)

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