What is the expected distance from any point to the closest

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Assume that Dunkin Donuts stores are distributed about the Boston area as a spatial Poisson process with rate 100 per square kilometer. What is the expected (Cartesian) distance between any store and the nearest other store? What is the expected distance from your current location to the nearest store? What is the probability of having at least one store within a radius of 100 meters from your current location?

Assume that Honey Dew Donut stores are also distributed about the Boston area as a spatial Poisson process with rate 21 per square kilometer. What is the expected distance from any point to the closest donut store (assuming these are the only two brands)? What is the probability that the closest store is a Dunkin Donuts?

Reference no: EM132464109

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