A bank official is concerned about the rate at which the bank’s tellers provide service for their customers. He feels that all of the tellers work at about the same speed, which is either 30, 40, or 50 customers per hour. Furthermore, 40 customers per hour is twice as likely as each of the other two values, which are assumed to be equally likely. In order to obtain more information, the official observes all five tellers for a two–hour period, noting that 380 customers are served during that period. Use this new information to revise the official’s probability distribution of the rate at which the tellers provide service.
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