Let Z be a discrete random variable with E(Z) =0. Does it necessarily follow that EC 7³ ) = 0 ? If yes give a proof; if nogice a Counter example.

Q: If X, Y and Z are three random variables, then cov (X +Y,Z) =cov(X,Z)+cov(Y,Z)

A: Solution

Q: A random variable has CDF given by JA i = 0,1,2 1 i = 3 if A = 0.38, then what is po? F; =

A: The CDF of the random variable is given as follows:

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A: Hello thank you for the question, As you have mentioned question number 'a', answering only the…

Q: 1. For a nonnegative integer-valued random variable Y, show that EiP(Y >i) =LE(Y*)– E(Y)].

A: The expectation formula is as follows:

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Q: 8. 6. Say events A1, A2, . are almost disjoint if P(A; NAj) = 0, i+ j. Show for such events 80…

A:

Q: solve and explain. step by step solution will be very helpful too.thank you

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A: Given : The Hypothesis are :

Q: A random variable has CDF given by Ai {A 1 = 0,1,2 1 i = 3 if A = 0.1, then what is po? F; =

A:

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A:

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Q: Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d).…

A: