myopenmath.com .Question7 v' The average production cost for major movies is 65 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 6 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N([:],[:]) b. What is the distribution of :2? :7: ~ N(:],:]) c. For a single randomly selected movie, find the probability that this movie's production cost is between 59 and 62 million dollars. C] d. For the group of 6 movies, find the probability that the average production cost is between 59 and 62 million dollars. e. For part d), is the assumption of normal necessary? (TYesf'; No Question Help: @ Written Example 8 Message instructor l umpAnsrtowe l 80/1 pt '0 5 Z 4 G) Details gli- l H myopenmath.com O Question8 v ' ' i E] i , , l myopenmathcom Cl ' o Question9 v i l 30/1 pt '0 5 34 @Detaiis The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.6 ppm and standard deviation 1.3 ppm. 39 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N(C],C]) b. What is the distribution of 5:? 5 - N([:],[:]) c. What is the probability that one randomly selected city's waterway will have less than 8.9 ppm pollutants? [: d. For the 39 cities, find the probability that the average amount of pollutants is less than 8.9 ppm. [:i e. For part d), is the assumption that the distribution is normal necessary? OYesO No Question Help: [3 Written Example 8 Message instructor l H myopenmath.com 30/1 pt .0 5 :3 4 G) Details The average number of miles (in thousands) that a car's tire will function before needing replacement is 70 and the standard deviation is 15. Suppose that 44 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.5 and 73.4. :] d. For the 44 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.5 and 73.4. e. For part d), is the assumption that the distribution is normal necessary? hYesC No Question Help: IQ Written Example 8 Message instructor Submit Question l Jump to Answer l lili