21. In a home theater system, the probability that the video component needs 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 component needs repair within 1 year is 0.001. Assuming the probabilities are independent, find the probability that. (A) At least one component will need repair within 1 year. (B) Exactly one component will need repair within 1 year.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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21. In a home theater system, the probability that the video component
needs 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 component needs repair within 1 year is 0.001. Assuming
the probabilities are independent, find the probability that.
(A) At least one component will need repair within 1 year.
(B) Exactly one component will need repair within 1 year.
Transcribed Image Text:21. In a home theater system, the probability that the video component needs 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 component needs repair within 1 year is 0.001. Assuming the probabilities are independent, find the probability that. (A) At least one component will need repair within 1 year. (B) Exactly one component will need repair within 1 year.
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