3. Let Y₁,...,Y be a random sample of size 5 from a normal population with mean 0 and v n 15 ΣY. Let Y, be another independent observation from the same population. 5 i=1 let Y =- distributions of: a.2√5/√√Σ³₁(Y−Y)² ? Why? b. 4Y²/Σ³‚(Y; − Ỹ)² ? Why? i=1 i i=1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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3.
Let Y₁,...,Y be a random sample of size 5 from a normal population with mean 0 and variance 1 and
n
let Y
==
5
Y. Let Y be another independent observation from the same population. What are the
i=1
5
distributions of: a.2√5√(x-² ? Why? b. 4Y²/Σ(Y, -Ï)² ? Why?
i=1
i=1
Transcribed Image Text:3. Let Y₁,...,Y be a random sample of size 5 from a normal population with mean 0 and variance 1 and n let Y == 5 Y. Let Y be another independent observation from the same population. What are the i=1 5 distributions of: a.2√5√(x-² ? Why? b. 4Y²/Σ(Y, -Ï)² ? Why? i=1 i=1
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