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hezilap

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Hi all, I've been struggling for days now with this problem. Would appreciate any idea you might have.

Red cars and blue cars arrive as independent Poisson processes on [0, ∞) with respective rates λ_r, λ_b. Let T denote the arrival time of the first red car whose nearest neighbor is a blue car. ("Nearest" in the sense of arrival times.)

How can I find the distribution of T, or at least its expected value? My attempts have led me nowhere...

Red cars and blue cars arrive as independent Poisson processes on [0, ∞) with respective rates λ_r, λ_b. Let T denote the arrival time of the first red car whose nearest neighbor is a blue car. ("Nearest" in the sense of arrival times.)

How can I find the distribution of T, or at least its expected value? My attempts have led me nowhere...

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