homeowner buys a package containing four light bulbs, each specified to have an average lifetime of 2000 hours. One bulb is placed in a single bulb table lamp and the remaining bulbs are used one after another to. replace ones that bum out in this same lamp. a) Find the expected lifetime of the set of four light bulbs. b) Find the probability that the four light bulbs will last 10,000 hours or more. c) Find the probability that the four light bulbs will all bum out in 4000 hours or less.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A homeowner buys a package containing four light bulbs, each specified to have an average lifetime of 2000 hours. One
bulb is placed in a single bulb table lamp and the remaining bulbs are used one after another to. replace ones that bum out in
this same lamp.
a) Find the expected lifetime of the set of four light bulbs.
b) Find the probability that the four light bulbs will last 10,000 hours or more.
c) Find the probability that the four light bulbs will all bum out in 4000 hours or less.

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