Let X represent the lifetime in months of a certain brand of light bulb. The pdf of X is given by Sk(6–x), 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let X represent the lifetime in months of a certain brand of light bulb. The pdf of
X is
given by
Sk(6–x),
0<x< 6
f(x) =-
0,
otherwise
i)
ii)
iii)
Determine the value of k
Find the probability that a bulb will last more than 2 months
Apply the inverse transformation method to generate a variate from the pdf.
Transcribed Image Text:Let X represent the lifetime in months of a certain brand of light bulb. The pdf of X is given by Sk(6–x), 0<x< 6 f(x) =- 0, otherwise i) ii) iii) Determine the value of k Find the probability that a bulb will last more than 2 months Apply the inverse transformation method to generate a variate from the pdf.
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