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A researcher has applied for research funding from the nation's peak science body. The two possible outcomes are X = {funded, unfunded}. The funding is
A researcher has applied for research funding from the nation's peak science body. The two possible outcomes are X = {funded, unfunded}. The funding is extremely competitive and the odds of recieving funding is 2:11. As part of the application process, the research proposal is sent to referees who review the project. Based on historical data, funded projects have recieved negative reviews 25% of the time, whereas unfunded projects have recieved negative reviews 52% of the time. If the reviews for the researcher's application are positive, what is the probability their research will be funded
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