Late Night Talk Shows Narrative

Essay

Late Night Talk Shows Narrative
Let A be the event that a randomly selected person watches the Tonight Show with Jay Leno (event A) and B be the event that a randomly selected person watches the Late Show with David Letterman (event B). It is possible to time-shift a program to a more convenient hour and thus watch both programs. Suppose the following probabilities are given: P(A B) = 0.20, P(A ) = 0.40, P( ) = 0.10, and P( ) = 0.30.
-Refer to Late Night Talk Shows Narrative. Are the events A and B independent? Justify your answer.