ue Sunday by 11:59pm Points 10 Submitting an external tool Available after Chapter 7: Central Limit Theorem (Mean) Score: 5.55/10 3/10 answered Question 5 Score on last try: 0.43 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below The average production cost for major movies is 57 million dollars and the standard deviation is 21 millio dollars. Assume the production cost distribution is normal. Suppose that 6 randomly selected major movi 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 - N( 57 21 b. What is the distribution of ? 2 - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 59 million dollars. d. For the group of 6 movies, find the probability that the average production cost is between 54 and 59 million dollars. e. For part d), is the assumption of normal necessary? No Yes of 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 it O