Let A be the event that a randomly selected person watches the Tonight Show with Jay Leno and B be the event that a randomly selected person watches the Late Show with David Letterman. Since most homes have VCRs, 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(An3}= 0.20 Poms\"): 0.40 Pm'nB)=0.10 Pmcns')=0.30 a. What is the probability that a randomly selected person watches both shows? b. What is the probability that a randomly selected person watches only Jay Leno? c. What is the probability that a randomly selected person watches only David Letterman? d. What is the probability that a randomly selected person watches Jay Leno? e. What is the probability that a randomly selected person watches David Letterman? f. If we know a person watches Jay Leno, what is the probability he or she also watches David Letterman? g. If we know a person watches David Letterman, what is the probability he or she also watches Jay Leno? h. Are the events A and B independent