A consulting firm submitted a bid for a large research project The firm s management initially felt they had a 50 50 chance of

Question

A consulting firm submitted a bid for a large research project The firm s management initially felt they had a 50 50 chance of getting the project However the agency to which the bid was submitte subsequently requested additional information on the bid Past experience indicates that for 74 of the successful bids and 37 of the unsuccessful bids the agency requested additional information a What is the prior probability of the bid being successful that is prior to the request for additional information to 1 decimal b What is the conditional probability of a request for additional information given that the bid will ultimately be successful to 2 decimals c Compute the posterior probability that the bid will be successful given a request for additional information to 2 decimals

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