Statistics 101 - Midterm test
Problem #4: P(A) = x, P(B|A) = y, P(B) = z, where x,y,z >0
(of course the real test is not as implicit as these equations, you have to invent the equations from half page of a very tricky story )
Are A and B independent events? Please consider adding the proof to your answer (This is the main question).
A student’s answer: Yes, because everyone is entitled to all the rights and freedom.
Another student’s answer: Yes, because everyone was born with free will to choose his/her own way of life.
My students mixed up Bayes’ Probability with The Universal Declaration of Human Rights or made the statistics’ problem sounds so-what philosophic because they translated “Independence” with freedom and free will, didn’t they?
Ha . . .
Actually the right answer is as easy as you can prove that P(B|A) = P(B) leads to what Bayes’ conclusion that A and B are independent events.