The average production cost for major movies is 66 million dollars and the standard deviation is
23 miltion dollars. Assume the production cost distribution is normal. Suppose that 38 randomly
selected major movies are researched. Answer the following questions. Give your answers in
miltions of dollars, not dollars. Round z-scores to 2 decimal places for use in calculations. Round
all other answers to 4 where possible. a. What is the distribution of X?XN( b. What is the
distribution of X?XN( c. For a single randomly selected movie, find the probability that this
movie's production cost is between 62 and 65 million dollars. d. For the group of 38 movies, find
the probability that the average production cost is between 62 and 65 miltion dollars. e. For part
d), is the assumption of normal necessary? Nc Yes