Solved: Reliability of a home theater system in a home theater, Basic Statistics

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Reliability of a home theater system in a home theater

Question: RELIABILITY OF A HOME THEATER SYSTEM In a home theater system, the probability that the video components need repair within 1 yr is .01, the probability that the electronic components need repair within 1 yr is .005, and the probability that the audio components need repair within 1 yr is .001. Assuming that the events are independent, find the probability that

a. At least one of these components will need repair within 1 yr.

b. Exactly one of these components will need repair within 1 yr.

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Basic Statistics: Reliability of a home theater system in a home theater

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