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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 57E

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Question

Transcribed Image Text:(b) Let X represent the lifetime in months of a certain brand of light bulb. The pdf of X is given by f(x)=K(6-x), 0<x<6 0, otherwise i) Determine the value of k ii) Find the probability that a bulb will last more than 2 months Apply the inverse transformation method to generate a variate from the pdf. iii)

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