Show that the mean and variance of the random variable Y are 0 and 1, respectively.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
a)
Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)
Xi
and Y =
=1X₁-0√n.
Show that the mean and variance of the random variable Y are 0 and 1, respectively.
Transcribed Image Text:a) Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1) Xi and Y = =1X₁-0√n. Show that the mean and variance of the random variable Y are 0 and 1, respectively.
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