SOLUTION: In a home theater system, the probability that the video components need repair within 1 year is 0.01, the probability that the electronic components need repair within 1 year is 0

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Question 355595: In a home theater system, the probability that the video components need repair within 1 year is 0.01, the probability that the electronic components need repair within 1 year is 0.005, and the probability that the audio components need repair within 1 year is 0.003. Assuming the events are independent, find the following probabilities. (Round your answers to four decimal places.)
(a) At least one component will need repair within 1 year.
(b) Exactly one component will need repair within 1 year.

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
a) .01+.005+.003=.018
.
b)
.01*.995*.997=.0099 only video
.005*.99*.997=.0049 only electronic
.003*.99*.995=.0030 only audio
--------------------add
=============>.0178
.
Ed

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