Let X₁, X₂, X3,..., Xn be a random sample of size n from the normal distribution N(μ, σ²). i) State, with parameter(s), the probability distribution of 1) 2) X3-X₂ O√2 1 (X₁-X₂)² 2 0²

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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QUESTION 1
Let X₁, X2, X3,..., X₁, be a random sample of size n from the normal distribution N(μ, 0²).
i) State, with parameter(s), the probability distribution of
1)
2)
X3-X₂
o√2
1 (X4-X₁)²
2
ii) Find the value of a sample size n, if the fifth percentile of 1(X₁-X)² is 9.39.
Transcribed Image Text:QUESTION 1 Let X₁, X2, X3,..., X₁, be a random sample of size n from the normal distribution N(μ, 0²). i) State, with parameter(s), the probability distribution of 1) 2) X3-X₂ o√2 1 (X4-X₁)² 2 ii) Find the value of a sample size n, if the fifth percentile of 1(X₁-X)² is 9.39.
QUESTION 1
Let X₁, X₂, X3,..., X, be a random sample of size n from the normal distribution N(μ, o ²).
i) State, with parameter(s), the probability distribution of
1) X3-X2
2)
1 (X₁-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.
Transcribed Image Text:QUESTION 1 Let X₁, X₂, X3,..., X, be a random sample of size n from the normal distribution N(μ, o ²). i) State, with parameter(s), the probability distribution of 1) X3-X2 2) 1 (X₁-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.
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