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.
If someone could show me the steps I would really appreciate it! Thanks!!!

Question

31-07-2014
Mathematics

Answered

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.
If someone could show me the steps I would really appreciate it! Thanks!!!

Answer :

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Pulkit Pulkit · Answer 1 · 2014-08-08T14:28:55-04:00

Pulkit Pulkit

08-08-2014

Probability that gear 1 will fail = 5/100 (upto 10 years)
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

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sofia50923 sofia50923 · Answer 2 · 2022-05-05T13:48:51-04:00

sofia50923 sofia50923

05-05-2022

Answer:

0.4%.

Step-by-step explanation:

If the gears on the machine are not linked to each other, the probability that both replacement gears will fail is 0.4%.

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