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1. Suppose five balls are distributed into three urns according to the Bose-Einstein scheme. Find the probability that at least one urn contains three or more balls.

2. Suppose five balls are distributed into three urns according to the Bose-Einstein scheme. Find the expected value of the number of empty urns.

3. Suppose five balls are distributed into three urns according to the Maxwell-Boltzmann scheme, but the probabilities that a particular ball drops into the three urns are :6; :3; :1, respectively. Find the expected value of the number of empty urns.

Hint: Try indicator variables.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91641499

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