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Suppose E(X) = 4 and E[X(X – 1)] = 26.5. - (a) What is E(X2)? [Hint: First verify that E[X(X – 1)] = E[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)? V(X) = E[X(X – 1)] – E(X) + [E(X)]? O v(X) = E[X(X – 1)] + E(X) + [E(X)]? V(X) = E[X(X – 1)] – E(X) – [E(X)]? V(X) = E[X(X – 1)] + E(X) – [E(X)]²

Suppose E(X) = 4 and E[X(X – 1)] = 26.5. - (a) What is E(X2)? [Hint: First verify that E[X(X – 1)] = E[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)? V(X) = E[X(X – 1)] – E(X) + [E(X)]? O v(X) = E[X(X – 1)] + E(X) + [E(X)]? V(X) = E[X(X – 1)] – E(X) – [E(X)]? V(X) = E[X(X – 1)] + E(X) – [E(X)]²

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose E(X) = 4 and E[X(X – 1)] = 26.5. - (a) What is E(X2)? [Hint: First verify that E[X(X – 1)] = E[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)? V(X) = E[X(X – 1)] – E(X) + [E(X)]? O v(X) = E[X(X – 1)] + E(X) + [E(X)]? V(X) = E[X(X – 1)] – E(X) – [E(X)]? V(X) = E[X(X – 1)] + E(X) – [E(X)]²
Transcribed Image Text:Suppose E(X) = 4 and E[X(X – 1)] = 26.5. - (a) What is E(X2)? [Hint: First verify that E[X(X – 1)] = E[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)? V(X) = E[X(X – 1)] – E(X) + [E(X)]? O v(X) = E[X(X – 1)] + E(X) + [E(X)]? V(X) = E[X(X – 1)] – E(X) – [E(X)]? V(X) = E[X(X – 1)] + E(X) – [E(X)]²
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