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A 2. Suppose that {{n}n, is a succession of independent and identically distributed random va- riables such that en Bernoulli(1/2). Calculate what is asked of
A 2. Suppose that {{n}n, is a succession of independent and identically distributed random va- riables such that en Bernoulli(1/2). Calculate what is asked of you in each subsection. a) E[T.) with To = inf{n> 1 : En = 1} b) E[T6] with To = inf{n> 1: (En, En+1) = (1,1)}, c) E[Te] with Te = inf{n> 1 : En, En+1, &n+2) = (1,1,1)}. d) E[Te] with Td = inf{n> 1: (En, En+1) = (1,0)}, A 2. Suppose that {{n}n, is a succession of independent and identically distributed random va- riables such that en Bernoulli(1/2). Calculate what is asked of you in each subsection. a) E[T.) with To = inf{n> 1 : En = 1} b) E[T6] with To = inf{n> 1: (En, En+1) = (1,1)}, c) E[Te] with Te = inf{n> 1 : En, En+1, &n+2) = (1,1,1)}. d) E[Te] with Td = inf{n> 1: (En, En+1) = (1,0)}
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