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Suppose E(X) = 5 and E[X(X-1)] = 24.5. (a) What is E(X²)? [Hint: First verify that E[X(X - 1)] = [X² -x] = E(X²) - E(X).] (b) What is V(X)? (c) What is the general relationship among the quantities E(X), E[X(X — 1)], and V(X)? Ov(x) = E[X(X-1)] + E(X) + [E(X)]² V(X) = E[X(X - 1)] - E(X) - [E(X)]² Ov(x) = E[X(X-1)] - E(X) + [E(X)]² O V(X) = E[X(X - 1)] + E(X) – [E(X)]²

Suppose E(X) = 5 and E[X(X-1)] = 24.5. (a) What is E(X²)? [Hint: First verify that E[X(X - 1)] = [X² -x] = E(X²) - E(X).] (b) What is V(X)? (c) What is the general relationship among the quantities E(X), E[X(X — 1)], and V(X)? Ov(x) = E[X(X-1)] + E(X) + [E(X)]² V(X) = E[X(X - 1)] - E(X) - [E(X)]² Ov(x) = E[X(X-1)] - E(X) + [E(X)]² O V(X) = E[X(X - 1)] + E(X) – [E(X)]²

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose E(X) = 5 and E[X(X-1)] = 24.5. (a) What is E(X²)? [Hint: First verify that E[X(X - 1)] = [X² -x] = E(X²) - E(X).] (b) What is V(X)? (c) What is the general relationship among the quantities E(X), E[X(X — 1)], and V(X)? Ov(x) = E[X(X-1)] + E(X) + [E(X)]² Ov(x) = E[X(X-1)] - E(X) - [E(X)]² O V(X) = E[X(X-1)] − E(X) + [E(X)]² O V(X) = E[X(X - 1)] + E(X) - [E(X)]²
Transcribed Image Text:Suppose E(X) = 5 and E[X(X-1)] = 24.5. (a) What is E(X²)? [Hint: First verify that E[X(X - 1)] = [X² -x] = E(X²) - E(X).] (b) What is V(X)? (c) What is the general relationship among the quantities E(X), E[X(X — 1)], and V(X)? Ov(x) = E[X(X-1)] + E(X) + [E(X)]² Ov(x) = E[X(X-1)] - E(X) - [E(X)]² O V(X) = E[X(X-1)] − E(X) + [E(X)]² O V(X) = E[X(X - 1)] + E(X) - [E(X)]²
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