2. Let Z₁, Z₂ be a random sample from a standard normal distribution, and X₁, X₂ a random sample from a Normal (1,1) distribution. Answer the following questions a. What is the distribution of X + Ž? b. What is the distribution of [(X₁−X₂)²+(Z₁-Z₂)²+(Z₁ + Z₂)²] p 2 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Let Z₁, Z₂ be a random sample from a standard normal distribution, and X₁, X₂ a random sample from
a Normal (1,1) distribution. Answer the following questions
a. What is the distribution of X + Z?
b. What is the distribution of [(x₁-x₂)²+(Z₁-Z₂)²+(Z₁ +Z₂)²] ?
2
2
Transcribed Image Text:2. Let Z₁, Z₂ be a random sample from a standard normal distribution, and X₁, X₂ a random sample from a Normal (1,1) distribution. Answer the following questions a. What is the distribution of X + Z? b. What is the distribution of [(x₁-x₂)²+(Z₁-Z₂)²+(Z₁ +Z₂)²] ? 2 2
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