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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 %.

Respuesta :

A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form. 
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P(both fail) = 0.05*0.08 = 0.004 = 0.4%

The probability that both replacement gears fail If the gears on the machine are in no way linked to each other is; 0.4%

How to find the probability?

We are told that the specifications sheet says that;

Probability of failure after 5 years = 5%

Probability of failure after 10 years = 8%

Now the probability that both replacement gears fail If the gears on the machine are in no way linked to each other is;

P(both fail) = 0.05 × 0.08

P(both fail) = 0.004

P(both fail) = 0.4%

Read more about Probability at; https://brainly.com/question/24756209

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