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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 X will perform reliably for a year?


Definitions:

Implicit Cultural Standard

Unwritten rules and expectations that govern behavior within a society, often absorbed unconsciously by its members.

Intersection

The point at which two or more paths, lines, or roads meet or cross each other.

Library

A collection of sources of information and similar resources, made accessible to a defined community for reference or borrowing, providing physical or digital access to material.

Obedience

The act of following orders or instructions from an authority figure, often studied in the context of social psychology.

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