sample mean X and sample variance S², that is distribution of the statistics of samples. Example 2.2.1 Let X₁ and X₂ be a random sample of size 2 from a distribution with the probability density function (6x(1-x), 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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K
In this section, we are mainly interested in findings the probability distribution of the
sample mean X and sample variance S², that is distribution of the statistics of samples.
Example 2.2.1
Let X₁ and X₂ be a random sample of size 2 from a distribution with the probability
density function
f(x) =
=
(6x(1-x), 0<x< 1
0,
otherwise
What are the mean and variance of the sample sum T = X₁ + X₂?
Example 2.2.2
9
Transcribed Image Text:K In this section, we are mainly interested in findings the probability distribution of the sample mean X and sample variance S², that is distribution of the statistics of samples. Example 2.2.1 Let X₁ and X₂ be a random sample of size 2 from a distribution with the probability density function f(x) = = (6x(1-x), 0<x< 1 0, otherwise What are the mean and variance of the sample sum T = X₁ + X₂? Example 2.2.2 9
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