1) 2) X3-X2 o√2 1 (X4-X₁)² 2 02 ii) Find the value of a sample size n, if the fifth percentile of 1(X₁ — X)² is 9.39. n 0²

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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Let X₁, X₂, X3,..., Xn be a random sample of size n from the normal distribution N(μ, o²).
i) State, with parameter(s), the probability distribution of
1)
2)
X3-X2
o√2
1 (X4-X₁)²
2 02
ii) Find the value of a sample size n, if the fifth percentile of 1(X₁ — X)² is 9.39.
-
n
Transcribed Image Text:Let X₁, X₂, X3,..., Xn be a random sample of size n from the normal distribution N(μ, o²). i) State, with parameter(s), the probability distribution of 1) 2) X3-X2 o√2 1 (X4-X₁)² 2 02 ii) Find the value of a sample size n, if the fifth percentile of 1(X₁ — X)² is 9.39. - n
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