18. Let the random variables Y, X, X, .. be independent, suppose that YE Fs(p), where 0 < p < 1, and suppose that X1, X2, X, .. Exp(1/a)-distributed. Find the distribution of are all

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Q: Let X1, X2, X3,....., Xn be the independent identically distributed random variables and let Sm = X1…

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A: Note: Hi! Thank you for the question. As you have specified, we have helped you answer only the…

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A: P(X=0) = P(X=1)  = P(X=3) = 1/3   For Y : n=2, p = 1/2   Y = 0 P(Y=0) = 0.25

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Q: (a) Given a and b, find x0 such that P(X < μ+x0) = 0.90, where μ = E[X]. (b)Given an i.i.d. sample…

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Q: 21. Suppose that X and Y are jointly continuous random variable for 0 <x <1 and 1< y < 2 otherwise -…

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Q: Suppose x has a distribution with u = 18 and o = 14. (a) If a random sample of size n = 46 is drawn,…

A: According to the provided information, Mean (μ) = 18 Standard Deviation (σ) = 14

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Q: 4- Let X₁, X₂,..., Xn be a random sample fromBeta(0, 1) and 0~1(a, p). Find the bayes estimate of 0.

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Q: 20) Let X be a random variable with p.d.f. k T<x<10 f(x) =- , find k. O.w

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Q: Suppose x has a distribution with u = 12 and o = 7. (a) If a random sample of size n = 45 is drawn,…

A: Given information a) Mean µ = 12 Standard Deviation σ = 7 Sample size n = 45

Q: Let x1, x2.X, be a random sample of size (n) taken from N(H1 H2), H2 >0, then alnL(x;2)

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Q: 3. Suppose that three random variables X1, X2, and X3 have a continuous joint distribution with the…

A: It is an important application in statistics . It is widely used in all the statistical procedures .

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Q: Suppose that X1,.., Xn is a random sample from the Poisson distribution with parameter 1 > 0. Let X…

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Q: Suppose that X is a random variable with distribution function given by 0, x < 0, 告, 0 <x < 1, Fx…

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Q: Suppose that X1, X2 are iid, and X1 ~ Exp(2). Find the distribution of X(1) = min{X1, X2}

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Q: 4. Let X denote the mean of a random sample of size n from the distribution N(u, 10) and P(x -…

A: here given ,  p(x¯ - 12 &lt; μ &lt; x¯ + 12) =  0.964  here population  follow normal distribution…

Q: Let x1, X2, ..., Xn be a random sample from a continuous uniform distribution with domain (0,b).…

A: Here,  Given that,x~U(0,b)fx(x)=1b, 0&lt;x&lt;b0    otherwise