2.4 Let X1, X2, .., Xn be a random sample from a population with probability density function f(x) = 0(1– x)º–1 0

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Q: 3.33 Suppose a certain type of small data prô Y that makes a profit is given by {ky (1-y) 0< yS1,…

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Q: 4) - Let y1, Y2, .., y, be a random sample of n observations from an exponential distribution with…

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Q: IF X has an exponential distribution with the parameter 0 an Hy = 202, where 0 >0 then find µx, a,…

A: Given that X has exponential distribution with parameter θ. μx=2σx21θ=2*1θ2θ=2 Therefore,…

Q: 9. Let Y1, Y2,..., Yn constitute a random sample from the pdf given by f (v) = (0 – y) for 0 sy sO.…

A: Given: The sample probability distribution function of Y1,Y2,......Yn is: f(y)=2θ2θ-y  for  0≤y≤θ

Q: 17. The diameter of electric cable, say X, is assumed to be a continuous random variable with pdf:…

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A: The pdf of random variable X is given: fX(x) = θ xθ-1,   0≤x≤1

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Q: 1. Let the random variable Y have pdf as f(y\A) = e®=e=t(e-1), y>0,1>0. Show that W = e – 1] ~ x²…

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Q: 8. Suppose that Y1, Y2, and Y3 denote a random sample from an population with an exponential…

A: Given that Y1, Y2 and Y3 denote a random sample from an population with an exponential distribution…

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A: Given:Let X be a single observation from a bernoulli .T1(x)=X and T2(X)=12

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Q: 1. Let X be a random variable having pdf f(r) = 6r(1 – 2) for 0 < z < 1 and 0 elsewhere. Compute the…

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Q: Let X1, X2, Xn be a random sample from a distribution that has pdff(x,0) = e2 x e-8x x20 where 0 is…

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Q: 2. Suppose X is a continuous random variable with pdf -즐z if 0 1.0).

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Q: 12. Suppose that the error on a reaction temperature, in °C, for a controlled laboratory experiment…

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Q: Suppose X - Exp(3) with density fx(x) = Bexp(-Bx) for x > 0 nd 3 > 0. For Y = X'/Y, where y>0 is a…

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Q: 1. If X,, X2, .X, forms a random sample of size n from a population with pdf f(x; 8,8) = 0 for x>0…

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Q: Find E[XY] if fxx) = 2/3 and the joint PDF of the random variables X and Y is zero outside and…

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Q: Let X1, X2, ..., Xn be a random sample from an exponential population, find the moment estimator for…

A: The mean is calculated as follows: EX= ∫0∞xθe-θxdx      =θ∫0∞xe-θxdx      =θΓ2θ2     =1θ

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Q: The Gamma pdf for continuous random variable Y takes the form 1 -ya-le-y/ß B«T(a)' y > 0 fV) = for…

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