Suppose there is gene which, if someone has it, causes them to turn into werewol

Question

Suppose there is gene which, if someone has it, causes them to turn into werewolf if they are exposed to a full moon. Let W be someone having the werewolf gene. You know that P(W) 0.3. One can test for the gene by taking someone's blood and dropping it on a sheet of silver and seeing if it reacts-call this the silver test. Let S be the silver test, and suppose that you are told that P(S) = 0.27. You know that the 'silver test, has a type-2 error rate of 0.02 Only one of the following statements is true. Which one? Select one:

Explanation / Answer

Option A is Correct and other statements are not true

P(S) = P(S/W)*P(W)+P(S/W')*P(W')

Option A is Correct

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