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?

X follows a standard normal distribution.

Answered: Let X~ N(0, 1) and let Y = -X. (a) Show…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 21E

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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?