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A Light Bulb Manufacturer Claims His Light Bulbs Will Last

question 75

Essay

A light bulb manufacturer claims his light bulbs will last 500 hours on the average.The lifetime of a light bulb is assumed to follow an exponential distribution.
a.What is the probability that the light bulb will have to replaced within 500 hours?
b.What is the probability that the light bulb will last more than 1000 hours?
c.What is the probability that the light bulb will last between 200 and 800 hours?


Definitions:

Skeptical

Having an attitude of doubt or a disposition to incredulity either in general or toward a particular object.

Immanuel Kant

A German philosopher in the 18th century, known for his work in epistemology, ethics, and aesthetics, emphasizing duty, moral law, and the categorical imperative.

Rationalism

A philosophy that emphasizes reason as the primary source of knowledge over sensory experience.

Empiricism

The theory that all knowledge is derived from sense-experience and observation.

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