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A consulting firm submitted a bid for a large research project. The firm's management initially felt...

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 submitted subsequently requested additional information on the bid. Past experience indicates that for 77% of the successful bids and 44% 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).

Math   Statistics-And-Probability   
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