Conditional Probability problem or not?
If a person with weapon walks thru the security check point, the probability of the check point correctly alarmed is .92. If a person without weapon walks thru, the check point falsely alarmed its danger with the probability of .08. Suppose that the probability of a person with weapons show up is 0.05.
Find the probability that a person has weapon if the checkpoint was not alarmed.
My solution so far:
I let , and
So I'm looking for
But how do I find ? Thank you.
or by the Baye's Theorem, I know that