Question: An order of 15 printers contains four with a graphics enhancement feature, five with extra memory, and six with both features. Four printers are selected

An order of 15 printers contains four with a graphics enhancement feature, five with extra memory, and six with both features. Four printers are selected at random, without replacement, from this set. Let the random variables X, Y, and Z denote the number of printers in the sample with graphics enhancement only, extra memory only, and both, respectively.
(a) Describe the range of the joint probability distribution of X, Y, and Z.
(b) Is the probability distribution of X, Y, and Z multinomial? Why or why not?

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