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A Certain Product Is Comprised of Two Components: X and Y.Component

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A certain product is comprised of two components: X and Y.Component X has a random failure rate of one in every ten years,while component Y's random failure rate is one in every five years.This product has a mean time to wear-out of eight years with a standard deviation of one year.What is the probability that component Y will perform reliably for a year?


Definitions:

Randomness

The occurrence of events without any predictable pattern or order.

Uncertainty

The state of being uncertain; situations in which outcomes, responses, or effects are unpredictable or unknown.

Framing

The way information is presented or communicated, which can influence an individual's understanding, interpretation, and decision-making.

Lack Of Participation

The absence or insufficiency of involvement by individuals or groups in activities or decisions that affect them.

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