Suppose X1, X2,... are independent Geometric (number of trials) random variables where Xi ~ Geome...

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Question

Suppose Xi, X2, are independent Geometric (number of trials) random variables where x,~ Geometric(pal+) |. a) It is easily sh

Suppose X1, X2,... are independent Geometric (number of trials) random variables where Xi ~ Geometric(p = 1/i^2)

a) It is easily shown that Xn converges to a for some constant a. Name it.

b) According to the Borel-Cantelli Lemmas, does Xn almost surely converge to a?

Answer 1

Answer #1

Suppose X1, X2 are independent Geometric (number of trials) random variables where Xi Geometric(p = 1/i^2) a) It is easily sh

Answer 2

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