2.) The 'r'th cumulant of the sum of independent random variables is equal to the sum of the 'r'th cumulants of the individual variables, i.e., K, (X1 + X2 + ... + X„) = K, (X1) + K, (X2) + ... + K, (Xn)

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Q: 1 The discrete random variable X has Var (X) = 5 Find Var (4X – 3)

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A: Solution

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Q: 2 Two discrete random variables X and Y have 2 P (X = 0, Y= 0) =, = P (X = 0, Y=1) 6. P (X = 1, Y=0)…

A: Given, X/Y 0 1 Totals 0 2/9 1/9 3/9 1  1/9 5/9 6/9 Totals 3/9 6/9 1

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A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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A: Solution (2) There is two different questions So i am solving first

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Q: 3.19 Show that 1 -za-le-²dz = a = 1, 2, 3, .... y! y=0 (Hint: Use integration by parts.) Express…

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A: Please see the handwritten solution.

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A: Here Marginal pdf of X1 = f(x1) =f(x1)=∫01f(x1,x2) dx2 =∫0112x1x2(1-x2) dx2 =∫0112x1(x2-x22)dx2…

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Q: (6) Let X and Y be random variables with var(X) = 4, var(Y) = 9 and %3D var(X – Y) = 16. Then…

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Q: If X is uniform random variable on interval (2,7) then the expexted value of X equal 9/2 (1/2 (5/2

A: Thanks for the question :)And your upvote will be really appreciable ;)

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