Suppose that you have ten lightbulbs, that the lifetime of each is independent of all the other
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Suppose that you have ten lightbulbs, that the lifetime of each is independent of all the other lifetimes, and that each lifetime has an exponential distribution with parameter .
a. What is the probability that all ten bulbs fail before time t?
b. What is the probability that exactly k of the ten bulbs fail before time t?
c. Suppose that nine of the bulbs have lifetimes that are exponentially distributed with parameter and that the remaining bulb has a lifetime that is exponentially distributed with parameter (it is made by another manufacturer). What is the probability that exactly five of the ten bulbs fail before time t?
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Related Book For 
Probability And Statistics For Engineering And The Sciences
ISBN: 9781111802325
7th Edition
Authors: Dave Ellis, Jay L Devore
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