In: Statistics and Probability
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 80% of the successful bids and
40% of the unsuccessful bids the agency requested additional
information.
- What is the prior probability of the bid being successful (that
is, prior to the request for additional information)?
- What is the conditional probability of a request for additional
information given that the bid will ultimately be successful?
- Compute the posterior probability that the bid will be
successful given a request for additional information (to 2
decimals).