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 submitted subsequently requested additional information on the bid. Past experience indicates that for 80% of the successful bids and 38% 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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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 submitted subsequently requested additional information on the bid. Past experience indicates that for 80% of the successful bids and 38% 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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