Question: Watching TV (6.1, 7.3) Choose a young person (aged 19 to 25) at random and ask, "In the past seven days, how many days did you watch television?" Call the response X for short. Here is the probability distribution for X:
(a) What is the probability that X = 7? Justify your answer.
(b) Calculate the mean of the random variable X. Interpret this value in context.
(c) Suppose that you asked 100 randomly selected young people (aged 19 to 25) to respond to the question and found that the mean of their responses was 4.96. Would this result surprise you? Justify your answer.