7) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equ 9. Let S² which defines the sample variance be given as S² = ½ Σ₁(X; – X). If P(S² ≤ k) = 0.05, wh the value of k?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(iv) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equal to
9. Let S² which defines the sample variance be given as S² = ½ Σ1(Xį – X). If P(S² ≤ k) = 0.05, what is
the value of k?
Transcribed Image Text:(iv) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equal to 9. Let S² which defines the sample variance be given as S² = ½ Σ1(Xį – X). If P(S² ≤ k) = 0.05, what is the value of k?
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