Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. a) Find the probability that a light bulb lasts between six and ten years. b) Seventy percent of all light bulbs last at least how long? c) If a light bulb has lasted seven years, what is the probability that it fails within the 8th year.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Suppose that the longevity of a light bulb is exponential with a mean
lifetime of eight years.
a) Find the probability that a light bulb lasts between six and ten years.
b) Seventy percent of all light bulbs last at least how long?
c) If a light bulb has lasted seven years, what is the probability that it
fails within the 8th year.
Transcribed Image Text:Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. a) Find the probability that a light bulb lasts between six and ten years. b) Seventy percent of all light bulbs last at least how long? c) If a light bulb has lasted seven years, what is the probability that it fails within the 8th year.
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