Probability that he will have a functioning tv set


Tom has three TV sets (with reliabilities of .80, .80, and .85) at home. Only one of them needs to function for him to watch the Super bowl.Tom's house is located in an area that has frequent power outages. Tom has a generator to run its TV set in case of a power failure. The local power company has a reliability of .90, and the generator has a reliability of .95.

a) What is the probability that he will have a functioning TV set?

b) What is the probability that he will have power to run hisTV?

c) What is the probability that he will have both power and a functioningTVto watch the Super bowl?

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Operation Management: Probability that he will have a functioning tv set
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