Chapter 04, Section 4.2, Problem 021 A random sample of 828 adults showed that 261 of them have shopped at least once on the Internet. What is the (approximate) probability that a randomly selected adult has shopped on the Internet? Round your answer to three decimal places. the tolerance is +/-2% Chapter 04, Section 4.3, Problem 036 Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch. Yes No No Opinion 71 173 56 Women 101 128 71 Men Give exact answers in fraction form. a. If one adult is randomly selected from these 600 adults, find the probability that this adult i. is a man Probability = ii. does not watch for calories and fat content Probability = iii. watches for calories and fat content given that this adult is a woman Probability = iv. is a man given that this adult has no opinion Probability = b. Are events men and yes mutually exclusive? What about yes and no opinion? c. Are events men and no independent? Chapter 05, Section 5.2, Problem 07d The following table gives the probability distribution of a discrete random variable x. x 0 1 2 3 4 5 6 P(x) 0.10 0.20 0.29 0.15 0.12 0.09 0.05 Find P(1x4). P(1x4)= exact number, no tolerance Chapter 05, Section 5.3, Problem 021 The H2 Hummer limousine has eight tires on it. A fleet of 1197 H2 limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the frequency distribution of the number of defective tires on the 1197 H2 limos. Number of defective tires 0 1 2 3 4 5 6 7 8 Number of H2 limos 54 233 310 312 199 71 15 2 1 Construct a probability distribution table for the numbers of defective tires on these limos. Round your answers to three decimal places. x P(x) 0 1 2 3 4 5 6 7 8 Calculate the mean and standard deviation for the probability distribution you developed for the number of defective tires on all 1197 H2 Hummer limousines. Round your answers to three decimal places. There is an average of tires. defective tires per limo, with a standard deviation of