Select the correct answer from the drop-down menu. a machine needs two of its gears replaced. you find two gears, one manufactured 5 years ago and the other manufactured 10 years ago. the specification sheet says that the chance of gear failure is 5% after 5 years and increases to 8% after 10 years. if the gears on the machine are not linked to each other, the probability that both replacement gears will fail is %.

Based on the probability that each gear will fail and the fact that the gears are not linked, the probability that both will fail is 0.4%.

What is the probability that both gears will fail?

Because the gears are not linked together, the probability that both will fail can be found as:

= Probability that gear fails after 5 years x Probability that gear fails after 10 years

Solving gives:

= 5% x 8%

= 0.4%

Find out more on probability of non-linked events at https://brainly.com/question/1099354.

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