= 'f X is either (a) Poisson with parameter λ, or (b) (1, 2), show that the distribution of Y (X-EX)/√var X approaches the N(0, 1) distribution as → ∞. (c) Show that === (1 + ~ + 1/² - + 2! +77) → n! 1 2 as no.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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'f X is either (a) Poisson with parameter 2, or (b) (1, 2), show that the distribution of Y
(X-EX)/√var X approaches the N(0, 1) distribution as → ∞.
(c) Show that
e²^ ( 1 + ² + 1/² -
+
2!
+77) →
n!
1
NI
2
as n→∞.
=
Transcribed Image Text:'f X is either (a) Poisson with parameter 2, or (b) (1, 2), show that the distribution of Y (X-EX)/√var X approaches the N(0, 1) distribution as → ∞. (c) Show that e²^ ( 1 + ² + 1/² - + 2! +77) → n! 1 NI 2 as n→∞. =
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