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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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?
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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