(a) No, the events “male” and “0 activities” are not independent. This is because the number of activities used by a male teenager could influence the probability of the event “0 activities” occurring.
(b) No, the events “female” and “5+ activities” are not independent. This is because the gender of the teenager could influence the probability of the event “5+ activities” occurring.
(c) Yes, the events “1-2 activities” and “3-4 activities” are mutually exclusive. This is because it is impossible for a teenager to use both 1-2 activities and 3-4 activities in the same 24 hour period.
(d) No, the events “male” and “1-2 activities” are not mutually exclusive. This is because it is possible for a male teenager to use 1-2 activities in the same 24 hour period.
Teen Communication The following data represent the number of different communication activities (e.g., cell phone, text messaging, e-mail, Internet, and so on) used by a random sample of teenagers over the past 24 hours.
(a) Are the events “male” and “0 activities” independent? Justify your answer.
(b) Are the events “female” and “5+ activities” independent? Justify your answer.
(c) Are the events “1-2 activities” and “3-4 activities” mutually exclusive? Justify your answer.
(d) Are the events “male” and “1-2 activities” mutually exclusive? Justify your answer.
1 answer
1 answer