In: Statistics and Probability
Delta Inc (DI), Elmo Trust (ET) and Frank Partnerships(FP) handle legal cases involving the breach of personal data under the Personal Data Protection Act (PDPA) on behalf of the Personal Data Protection Commission (PDPC). ET takes 20% of all suits in Singapore, FP handles 40% and DI takes the other 40% of cases. ET wins 70% of its cases for the suits by PDPC against businesses suspected of breach. FP wins 60% of its cases whilst DI wins only 40% of its cases.
a. Develop a probability tree showing all marginal, conditional, and joint probabilities.
b. Develop a joint probability table.
c. Using Bayes’ rule, determine the probability that the FP firm handled a particular case, given that the case was won.