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1. Let {x, t,f 0) and {Yǐ.12 0) be independent Poisson processes,with rates λ and 2A, respectivel...


1. Let {x, t,f 0) and {Yǐ.12 0) be independent Poisson processes,with rates λ and 2A, respectively. Obtain the conditionafdis


OX tRe ground floor of 9 Rainforest Walk 2 0} and {y, t-0) be independent Poisson processes with rates λ and 2x. respectively
1. Let {x, t,f 0) and {Yǐ.12 0) be independent Poisson processes,with rates λ and 2A, respectively. Obtain the conditionafdistributiono) Moreover, find EX Y X2t t given Yt-n, n = 1,2. 2, (a) Let T be an exponential random variable with parameter θ. For 12 0, compute (b) When Amelia walks from home to work, she has to cross the street at a certain point. Amelia needs a gap of a (units of time) in the traffic to cross the street at that point. Suppose that the traffic flow is modelled as a Poisson process with parameter θ. Find the expected value of the time Amelia has to wait before she can cross the street. 3. Let A, t 0} be a Poisson process with rate λ and and arrival times T.T2, (a) For 0
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1. Let {x, t,f 0) and {Yǐ.12 0) be independent Poisson processes,with rates λ and 2A, respectivel...
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