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The Readylite Company Produces a Flashlight Which Is Perfectly Reliable

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The Readylite Company produces a flashlight which is perfectly reliable except for two components: the battery,which has a random failure rate of one in every five hours of operation; and the light bulb,which has a random failure rate of three in every ten hours.Devices,Inc.supplies Readylite with the on-off switch for this flashlight.These switches,on average,fail in fifty hours with a standard deviation of four hours.What service life should Devices specify to have a .8944 probability that a switch will last at least that long before failing?


Definitions:

True Value

The actual, factual value or correctness of something, often used in the context of measurement, logic, or philosophy.

Unreliable

Lacking consistency or predictability; not able to be trusted to do or provide what is needed or expected.

Median

The median is the central number in a dataset that splits it into two halves of equal size.

Average

A numerical value expressing the central or typical value in a set of data, calculated as the sum of the values divided by the number of values.

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