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A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is 1/8, the probability that the computer has a bad CPU is 1/5, and the probability that it has a bad drive is 1/3. If we assume that modems, CPUs, and drives are independent, find the probability of the following:
a) A modem, CPU, and a drive in a computer sent to the shop are bad
b) Only a modem and a CPU in a computer sent to the shop are bad
c) None of the three parts (modem, CPU, or drive) is bad
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