6. Let fn (n = 1, 2, 3, ...) be respectively: (a) n² X[1 1 (b) (c) X[n] 1 3kX[k,k+1] n k=0

Q: Derive and use the estimate 800 |u (x, t)| < 1 -7²t/10 re (2k + 1)* k=0

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Q: (1) Let x, y E R be positive real numbers. Then: a) 3n EN3 x< ny. (b) 3neN 9 0< < y. (c) 3n…

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Q: 28. Show {Xn, n ≥ 1} are independent if o(X₁,..., Xn-1) || σ(Xn) are independent for each n ≥ 2.

A: Given::- Show (Xn, n ≥ 1} are independent if o (X1,..., Xn-1) || σ (Xn) are independent for each n ≥…

Q: 6-2 x and y are independent and uniform in the interval (0, a). Find the p.d.f. of (a) x/y,

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Q: 1. Consider the following, recursively defined function C(1) = 1 C (2) = 1 - C(n) = C(C(n − 1) + C(n…

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A: Given that, X~U(0,θ)

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Q: determine L−1[F].

A: