Suppose that there are n guests at a Halloween party, and that each is wearing one...

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Suppose that there are n guests at a Halloween party, and that each is wearing one of 200 possible costumes available at local store, uniformly at random and independently of all other guests. Using Poisson approximation and the value Vlog 2 0.83, show that only about n = pair of guests are wearing the same costume with probabiliy at least 50%. 17 guests are needed to ensure that some Note: This approximation is quite accurate. It can be shown that, when n = true probability of a match is 1 – (200)17/20017 50.3%. 17, the Suppose that there are n guests at a Halloween party, and that each is wearing one of 200 possible costumes available at local store, uniformly at random and independently of all other guests. Using Poisson approximation and the value Vlog 2 0.83, show that only about n = pair of guests are wearing the same costume with probabiliy at least 50%. 17 guests are needed to ensure that some Note: This approximation is quite accurate. It can be shown that, when n = true probability of a match is 1 – (200)17/20017 50.3%. 17, the