Compute the inductive probability of the following argument assuming thatepistemic probabilities defer to base rates and chances. (Hint: this is really justa Bayes’ theorem question.)
1). One in a thousand people have disease X.
2). The chance of a positive test result is 99% for those that have disease X.
3). The chance of a positive test result is 5% for those that don’t have diseaseX.
4). Alice just tested positive.
5). Thus, Alice has disease X.
Let E1 and E2 denote the event that a person has disease X and a person doesn't disease Y respectively
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