a Content x + O ( 9 C' a learn.humber.ca/ultra/courses/_186175_1/cl/outline i} G *- Quantitative Methods - BSTA-320-D8A Tests and Quizzes Quiz 4 - Posterior Probabilities The hiring process at Queensway Stafng Agency is great, but far from perfect. Good candidates are sometimes rejected and bad ones sometimes hired. Since the agency earns profits from hiring good candidates, they also incur losses when they hire a candidate that is fired within 6 months or when they fail to hire (reject) a good candidate. They used relative frequency to determine the probability of hiring a good candidate and presented their payoffs (in $'000) as follows: -n 0.12 Queensway has recently subscribed to a premium package at Finch, an online career site. This package provides Queensway with access to the candidates who are already rated on Finch. Candidates are rated A if they have been verified to be top performers, and rated F if they have not performed well. Past user experience shows that if a candidate is Good, they are rated A 64% of the time but if they are Bad, they are rated F 52% of the time. Calculate the following probabilities. Do not round your results. _, ..._.. r l a Content x + O ( 9 C' a learn.humber.ca/ultra/courses/_186175_1/cl/outline i} G *- Quantitative Methods - BSTA-320-D8A Tests and Quizzes Quiz 4 - Posterior Probabilities 9 Calculate the following probabilities. Do not round your results. a) P(rated A | Bad) = C] b) P(rated F) = C] Round your answer accurate to 3 decimal places in c) and d) below. c) P(Bad | rated A) = [j d) P(Good | rated F) = C] Check