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Compare the answers obtained by using the normal

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Consider a room in which 730 persons are assembled. For i = 1,2, ... , 730, let Ai be the event that the ith person was born on January 1. Assume that the events A1,. .. ,A730 are independent and that each event has probability equal to 1/365. Find approximately the probability that (i) exactly 2, (ii) 2 or more persons were born on January 1. Compare the answers obtained by using the normal and Poisson approximations to the binomial law.

Reference no: EM131833131

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