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2) If X₁ X₂, Xn be independent random variables distributed with x² (₁).x²(₂).....x² (rn), respectively. Show that ²(7) X₁ + X₂ + ·+X₁ ~ X² ( 3) If Z₁ Z₂, Z, be independent random variables identically distributed with standard normal N(0, 1). Show that 2+2++Z-x² (n)

2) If X₁ X₂, Xn be independent random variables distributed with x² (₁).x²(₂).....x² (rn), respectively. Show that ²(7) X₁ + X₂ + ·+X₁ ~ X² ( 3) If Z₁ Z₂, Z, be independent random variables identically distributed with standard normal N(0, 1). Show that 2+2++Z-x² (n)

A First Course in Probability (10th Edition)
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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Please send me answer within 10 min!! I will rate you good for sure!! Please solve both 2 question with proper explanation!!
2) If X₁.X₂, Xn be independent random variables distributed with x² (₁).x²(₂).....x² (rn), respectively. Show that X₁ + X₂ ++Xn~x²( 7) [#1 3) If Z₁, Z₂, Zn be independent random variables identically distributed with standard normal N(0, 1). Show that 2+2++Zx² (n)
Transcribed Image Text:2) If X₁.X₂, Xn be independent random variables distributed with x² (₁).x²(₂).....x² (rn), respectively. Show that X₁ + X₂ ++Xn~x²( 7) [#1 3) If Z₁, Z₂, Zn be independent random variables identically distributed with standard normal N(0, 1). Show that 2+2++Zx² (n)
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