myopenmathcom C 0 Question 6 v The average production cost for major movies is 61 million dollars and the standard deviation is 23 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. c. For a single randomly selected movie, find the probability that this movie's production cost is between 63 and 69 million dollars. C] d. For the group of 6 movies, find the probability that the average production cost is between 63 and 69 million dollars. e. For part d), is the assumption of normal necessary? \"Yes\" No Question Help: Q Written Example 8 Message instructor Submit Question Jump to Answer i|_'l.l] 80/5 pts '0 20 I a ( >' E] ' ' myopenmathcom C. l [1'1 i [7] I 0 Question 7 v a 0/5 pts '0 20 8 99 (DI: The average price of a college math textbook is $177 and the standard deviation is $20. Suppose that 46 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of :2? :2 ~ N([:],[:]) b. For the group of 46, find the probability that the average price is between $180 and 5183. C] c. Find the first quartile for the average textbook price for this sample size. SD (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? W\" No\" Yes Question Help: Q Written Example 8 Message instructor Submit Question 1 Jump to Answer 1 Eli myopenmathcom C i iii 1 I5] I 0 Question 8 v a 0/5 pts .0 20 2:: 99 G Suppose that the number of Facebook friends users have is normally distributed with a mean of 112 and a standard deviation of about 40. Assume fifty individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of :2? 5 ~ N([:],[:]) b. For the group of 50, find the probability that the average number of friends is more than 113. [:] c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places. D d. For part b), is the assumption that the distribution is normal necessary? \"Yes\" No Question Help: Q Written Example a Message instructor Submit Question Jump to Answer myopenmathcom C. i F11 i '5] I 0 Question 9 v ' ' B 0/5 pts '0 20 8 99 Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.1 month. 35 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. c. What is the probability that one randomly selected person learned to walk when the person was between 10.9 and 11.5 months old? d. For the 35 people, find the probability that the average age that they learned to walk is between 10.9 and 11.5 months old. e. For part d), is the assumption that the distribution is normal necessary? h YesA No Question Help: Q Written Example 8 Message instructor Submit Question ' Jump to Answer E] ' myopenmathcom C ' [1'1 . I5] I 0 Question 10 v 80/5 pts 0 20 8 99 1 The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 13. Suppose that 47 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 65.6 and 68.2. [:] d. For the 47 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65.6 and 68.2. e. For part d), is the assumption that the distribution is normal necessary? A No\" Yes Question Help: Q Written Example 8 Message instructor