Which of the following statements are true? a. Exponentially distributed random variables X_i satisfy the Central Limit Theorem if they are statistically independent. b. Statistical Independence implies Uncorrelatedness. c. The Central Limit Theorem is valid regardless whether the random variables X_i that are added up are statistically independent or not. d. Uncorrelatedness and Statistical Independence is the same. e. Uncorrelatedness implies Statistical Independence.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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Which of the following statements are true?

a.

Exponentially distributed random variables  X_i satisfy the Central Limit Theorem if they are statistically independent.

b.

Statistical Independence implies Uncorrelatedness.

c.

The Central Limit Theorem is valid regardless whether the random variables X_i that are added up are statistically independent or not. 

d.

Uncorrelatedness and Statistical Independence is the same.

e.

Uncorrelatedness implies Statistical Independence.

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