QUESTION: Find theprobability that none of the threebulbs in a set of traffic lights will have to be replaced during the first 1200 hours of operation if the lifetime X of a bulb (in thousands of hours) is a random variable with probability density function f(x) = 6[0.25 − (x − 1.5)2] when 1 ≤ x ≤ 2 and f(x) = 0 otherwise. You should assume that the lifetimes of different bulbs are independent.

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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QUESTION: Find theprobability that none of the threebulbs in a set of traffic lights will have to be replaced during the first 1200 hours of operation if the lifetime X of a bulb (in thousands of hours) is a random variable with probability density function f(x) = 6[0.25 − (x − 1.5)2] when 1 ≤ x ≤ 2 and f(x) = 0 otherwise. You should assume that the lifetimes of different bulbs are independent.

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