Suppose the life span of a laboratory animal is defined by a Rayleigh density function witha=0 and b=30 weeks:(x-a)²bu(x-a)Where£x (x)==b(x-a)e9 = { 1u(x) =x>0x < 0What is the probability that the animal will live between 10 and 20 weeks? What is theexpected lifespan of the animal?

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Answered: Suppose the life span of a laboratory…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Suppose the life span of a laboratory animal is defined by a Rayleigh density function with a=0 and b=30 weeks: Where (x-a)² b £x(x) = ²/(x-a)e u(x-a) b x>0 x < 0 u(x)= What is the probability that the animal will live between 10 and 20 weeks? What is the expected lifespan of the animal?