6. Last year a survey of all the residents of Differentville Indiana was taken with the following results Watches less than Watches 10 hours TOTAL 10 hours of TV per week or more of TV per week Age under 30 20 90 110 30 or over 120 60 180 TOTAL 140 150 290 One of these residents is selected at random. (a) What is the probability that this person is under 30? (b) What is the probability that this person is under 30 and watches less than 10 hours of TV per week? (c) If the person selected is under 30, what is the probability that this person watches less than 10 hours of TV per week? (d) If the person watches less than 10 hours of TV per week, what is the probability that this person is under 30? (e) What is the probability that this person is under 30 if the person watches less than 10 hours of TV? (f) Are the events "under 30" and "watches less than 10 hours of TV per week" independent? Why or why not