X + V X id_name.- Q x Assignment - Ch. 7: Central Limit Theorem (Calculations) Progress saved Done Score: 0/100 1/11 answered . Question 6 0/10 pts 3 99 0 Details The average production cost for major movies is 68 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 10 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ NO b. What is the distribution of ? I ~ NO C. For a single randomly selected movie, find the probability that this movie's production cost is between 63 and 68 million dollars. d. For the group of 10 movies, find the probability that the average production cost is between 63 and 68 million dollars. e. For part d), is the assumption of normal necessary? O YesO No Hint Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] . Finding Value Given a Probability Using the Central Limit Theorem ' [+] . The Central Limit Theorem For Sums ) [+] Hint Calculator Type here to search W 7:14 PM 63.F A 11/2/2021