Question: Bob would like to develop a system to evaluate a corporate project good or bad. The analyst gathered the following information when validating the system.

Bob would like to develop a system to evaluate a corporate project good or bad. The analyst gathered the following information when validating the system. Assume there are two types of projects, good vs poor. 15% of projects are bad: P (bad project)=0.15. 78% of projects pass the test of the system, i.e. P(pass test) = 0.78. The project passes the test with 86% of probability given a good project, i.e. P(pass test | good project)=0.86 .

What is the percentage of projects not passing the test?

Calculate the probability of passing the test given that it is a bad project, i.e. P(pass test | bad project)=?

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