Confidence in institutions. A Gallup Poll (June 9 to 12, 2008) interviewed a random sample of 822 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:
Great deal Quite a lot some Very Little None No opinion Small Business 0.28 0.32 0.31 0.07 0.00 0.02 Big Business 0.07 0.13 0.43 0.32 0.03 0.02
(a) 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.
(b) 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.