SUPERCOMP, a retail computer store, sells personal computers and printers. The number of computers and printers sold on any given day varies, with the probabilities of the various possible sales outcomes being given by the following table:

a. Define an appropriate sample space for the experiment of observing how many computers and printers are sold on any given day.

b. Can the information provided in the table be used to define a probability set function for assigning probabilities to all events in the sample space? Explain (briefly, but clearly).

c. What is the probability that more than two computers will be sold on any given day? What is the probability that more than two printers will be sold on any given day? In each case, define the set of outcomes in \(S\) that corresponds to the stated events.

d. What is the probability of selling more than two printers, given that more than two computers are sold? Show your calculation.

e. What is the probability of selling more than two printers and more than two computers? Show your calculation.

f. What is the probability that SUPERCOMP has no sales on a given day? Given that SUPERCOMP sells no computers, what is the probability that it sells no printers on a given day?

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Number of printers sold Number of computers sold 1 2 3 4 .03 .02 .02 .01 .06 .02 .01 .10 .05 .05 0 0.03 1 .02 .05 2 .01 .02 3 .01 .01 .05 .10 .10 4.01 .01 .01 .05 .15 Probabilities of elementary events