9. Is the function defined byf(x) = 01= -(2x + 3)180x<22≤x≤4x>4a probability density function? Find the probability that a variate havingf(x) as density function will fall in the interval 2 ≤ x ≤ 3.1

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Answered: 9. Is the function defined by f(x)=0 =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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9. Is the function defined by f(x)=0 = 1 18 =0 (2x+3) x<2 2≤x≤4 x>4 a probability density function? Find the probability that a variate having f(x) as density function will fall in the interval 2 ≤ x ≤ 3.