Let X~ N(0, 1) and let Y = -X. (a) Show that Y~ N(0, 1) (by showing that Y has cdf Þ). (b) What is the distribution of X + Y? (c) Are X and Y independent?
Let X~ N(0, 1) and let Y = -X. (a) Show that Y~ N(0, 1) (by showing that Y has cdf Þ). (b) What is the distribution of X + Y? (c) Are X and Y independent?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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![Let X~ N(0, 1) and let Y = -X.
(a) Show that Y~
N(0, 1) (by showing that Y has cdf Þ).
(b) What is the distribution of X + Y?
(c) Are X and Y independent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbc80476-f233-49f2-bdbf-36e208e5f53e%2F6bb510e6-38bf-45c7-9934-5f36545c591e%2Fd6is5469_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X~ N(0, 1) and let Y = -X.
(a) Show that Y~
N(0, 1) (by showing that Y has cdf Þ).
(b) What is the distribution of X + Y?
(c) Are X and Y independent?
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