4) Suppose S has pmf given below. Find E[(S- 1),]. k 1 2 3 P(S=k) 0.1 0.2 0.4 0.3

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A: Topic:- simplification

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Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 2 4 16…

A: Data given  X 1 2 4 8 16 P(X=x) 0.05 0.15 0.25 0.30 0.25

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Q: 40 10000 41 9900 42 9700 43 9400 44 9000 45 8500

A: Given:

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Q: E(X), E[(X +2)3], and E[6X – 2(X + 2)). -

A: Expectation is basically an average . It gives an value on the long run of a stochastic process .

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Q: () È(-)"

A: Consider the series c) ∑n=2∞−23n

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A: Solution

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Q: Then Suppose f(x) dx = 13 and 8 12 4 [ 12 13 and ["fl f(x) dx = f(x) dx = 5.

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Q: 7. Find A if eAr 2e²¹-e¹ e²1_e¹ e²1-e¹ 2e²¹-e¹ e¹-e²¹ e¹ - e²t 2021 201 20²1 201 201 20²1

A: Find derivative w.r.t. t Put t=0 We get required matrix A

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A: GivenP(A|B)=0.2P(A|B')=0.3P(B)=0.8

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Q: 1.8.6. Let the pmf p(r) be positive at r = -1,0, 1 and zero elsewhere. %3D (a) If p(0) = 1, find…

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Q: 8.0 17 M. 8. N. 15 7. + K/ Use ON with KL = JM. What is JM?

A: Solution: From the given figure, The perpendicular line bisects KL into 2 equals half's.

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A: *Answer:

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A: Consider n!1n=an1n.

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Q: 6. What is the limit of T(n) as n → ∞?

A: We have to solve only question no 6

Q: ANSWER D AND FOR SAMPLE

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Q: 3. Suppose that the pmf of X is x-1 1. p(x) ,t = 1,2, 3, . 3 3 Find the mgf of X.

A: