Let {X} be a sequence of mutually independent random variables such that X = 1 with probability
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Let {X} be a sequence of mutually independent random variables such that X = 1 with probability (1-2)/2 and X = 2" with prob- ability 21.
Prove that both the weak and the strong law of large numbers apply to (X). [Note: This shows that the condition (5.5) is not necessary.]
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Related Book For
An Introduction To Probability Theory And Its Applications Volume 1
ISBN: 9780471257110
3rd Edition
Authors: William Feller
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