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7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².

7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².
Transcribed Image Text:7.20 a If U has a x² distribution with v df, find E(U) and V (U). b Using the results of Theorem 7.3, find E(S2) and V (S2) when Y₁, Y2,..., Y, is a random sample from a normal distribution with mean μ and variance o².
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