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. The mean of the random variable X is μX = 5.44 and the standard deviation is σX = 2.14. Interpret these values.

c. Suppose that you asked 100 randomly selected young people (aged 19 to 25) to respond to the question and found that the mean x¯ of their responses was 4.96. Would this result surprise you? Justify your answer.

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Days 1 2 3 4 5 7 Probability 0.04 0.03 0.06 0.08 0.09 0.08 0.05 ???