Question 4.31

4.31 Confidence in institutions.

A Gallup Poll (June 1–4, 2013) interviewed a random sample of 1529 adults (18 years or older). The people in the sample were asked about their level of confidence in a variety of institutions in the United States. Here are the results for small and big businesses:9

Great
deal		 Quite
a lot		 Some Very
little		 None No
opinion
Small
business		 0.29 0.36 0.27 0.07 0.00 0.01
Big
business		 0.09 0.13 0.43 0.31 0.02 0.02
  1. What is the probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small businesses? Find the similar probability for big businesses.
  2. Using your answer from part (a), determine the probability that a randomly chosen person has at least some confidence in small businesses. Again based on part (a), find the similar probability for big businesses.

4.31

(a) For small business: 0.08. For big business: 0.35. (b) For small business: 0.92. For big business: 0.65.