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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 this product will perform reliably for a year?


Definitions:

Arbitrary Category

A classification based on random choice or personal whim, rather than any reason or system.

Systematic Program

A structured and planned sequence of procedures or activities designed to achieve specific goals.

Genocide

The deliberate and systematic destruction of a racial, political, or cultural group.

Combatting Racism

The efforts and actions taken to fight against racial prejudice, discrimination, and inequality in society.

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