According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82.

(a) Suppose a random sample of 100 Americans is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain. 

(b) Explain why the sample proportion, pn, is a random variable. What is the source of the variability?

(c) Describe the sampling distribution of pn, the proportion of Americans who are satisfied with the way things are going in their life. Be sure to verify the model requirements. 

(d) In the sample obtained in part (a), what is the probability the proportion who are satisfied with the way things are going in their life exceeds 0.85? 

(e) Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life? Why?