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84 Consider purchasing a system of audio components con sisting of a receiver a pair...

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84 Consider purchasing a system of audio components con sisting of a receiver a pair of speakers and a CD player Let A be the event that the receiver functions properly throughout the warranty period A be the event that the speakers function properly throughout the warranty period and A be the event that the CD player functions properly throughout the warranty period Suppose that these events are mutually independent with P A 95 P A 98 and P A 80 a What is the probability that all three components function properly throughout the warranty period What is the probability that at least one component needs service during the warranty period b c What is the probability that all three components need service during the warranty period d What is the probability that only the receiver needs service during the warranty period e What is the probability that exactly one of the three components needs service during the warranty period f What is the probability that all three components function properly throughout the warranty period but that at least one fails within a month after the war ranty expires

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