Suppose E(X) = 4 and E[X(X − 1)] = 22.5. (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)? O v(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 O V(X) = E[X(X - 1)] - E(X) + + [E(X)]²
Suppose E(X) = 4 and E[X(X − 1)] = 22.5. (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)? O v(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 O V(X) = E[X(X - 1)] - E(X) + + [E(X)]²
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Related questions
Question
![Suppose E(X) = 4 and E[X(X - 1)] = 22.5.
(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)?
O v(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
O V(X) = E[X(X - 1)] − E(X) + [E(X)]²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a4cf3b-7b0c-4ef2-a9bb-2a52eee0ff0c%2F25e72d69-4ac6-4459-8e07-a03d0bed7f81%2Fqfmcl6y_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose E(X) = 4 and E[X(X - 1)] = 22.5.
(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)?
O v(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
O V(X) = E[X(X - 1)] − E(X) + [E(X)]²
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