37. If X is a random variable having the standard normal distribution and Y = X2, show that cov(X, Y) = 0 even though X and Y are evidently not independent.

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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37. If X is a random variable having the standard normal
distribution and Y= X², show that cov(X, Y) = 0 even
though X and Y are evidently not independent.
Transcribed Image Text:37. If X is a random variable having the standard normal distribution and Y= X², show that cov(X, Y) = 0 even though X and Y are evidently not independent.
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