Assume that 0.10 is the probability that a computer motherboard exposed to high levels of contamination during the manufacturing process is the cause of computer failure, and that 0.01 is the probability that a motherboard exposed to medium levels of contamination during the manufacturing process is the cause of a computer failure and that 0.001 is the probability that a motherboard exposed to low levels of contamination during the manufacturing process is the cause of a computer failure. On any given day, 20% of motherboards are exposed to high levels of contamination, 30% to medium levels and 50% to low levels. What is the probability that the computer that uses one of these motherboards will not fail?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Assume that 0.10 is the probability that a computer motherboard exposed to high levels of contamination during the manufacturing process is the cause of computer failure, and that 0.01 is the probability that a motherboard exposed to medium levels of contamination during the manufacturing process is the cause of a computer failure and that 0.001 is the probability that a motherboard exposed to low levels of contamination during the manufacturing process is the cause of a computer failure.

On any given day, 20% of motherboards are exposed to high levels of contamination, 30% to medium levels and 50% to low levels.

What is the probability that the computer that uses one of these motherboards will not fail?

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