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 reguested additional information on the bid. Past experience indicates that for 71% of the successful bids and 37% of the unsuccessful bids the agency requested additional information. I What is the prior probability of the bid being successful (that is, prior to the request for additional information)? I What is the conditional probability of a request for additional information given that the bid will ultimately be successful? I Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 reguested additional information on the bid. Past
experience indicates that for 71% of the successful bids and 37% of the unsuccessful bids the agency requested additional
information.
I What is the prior probability of the bid being successful (that is, prior to the request for additional information)?
I What is the conditional probability of a request for additional information given that the bid will ultimately be successful?
1 Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Transcribed Image Text: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 reguested additional information on the bid. Past experience indicates that for 71% of the successful bids and 37% of the unsuccessful bids the agency requested additional information. I What is the prior probability of the bid being successful (that is, prior to the request for additional information)? I What is the conditional probability of a request for additional information given that the bid will ultimately be successful? 1 Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
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