2. Let X1, X2, X3 ., X, be iid b(1, p) random variables. Let S, = E=1 X¢ then prove that Sn-E(Sn) N(0,1) as n→ o,

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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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Let X1, X2, X3 .., X, be iid b(1, p) random variables. Let S, = E-1 Xi then prove that
Sn-E(Sn)
Zn
V(Sn)
~N(0,1) as
n - 0o,
Transcribed Image Text:2. Let X1, X2, X3 .., X, be iid b(1, p) random variables. Let S, = E-1 Xi then prove that Sn-E(Sn) Zn V(Sn) ~N(0,1) as n - 0o,
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