STAT 2507 Lecture Notes - Lecture 4: Network Interface Controller, Posterior Probability, Bayes Estimator
5 Feb 2018
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Suppose that sa(cid:373)ple space s is portio(cid:374)ed i(cid:374)to k e(cid:448)e(cid:374)ts, s(cid:1005), s(cid:1006), , sk, (cid:449)hich ar (cid:373)utually exclusive and exhaustive. Given a set of events that are mutually exclusive and exhaustive and an event a, the probability of the event a can be expressed as. 50% are produced at plant a, 30% at plant b, and. 20% at plant c. the percentage of defective network cards at plants a, b, and c is 1%, 2%, and. Let represent k mutually exclusive and exhaustive events with prior probabilities p(s1), p(s2), If event a occurs, the posterior probability of given a is the conditional probability exercise 9. A network card is chosen at random and found to be defective. We wish to give a suspected criminal a lie detector test. Suppose 60% of all suspected criminals are actually guilty. If a person taking the test is innocent, the test will say they are innocent 90% of the time.
