The average production cost for major movies is 57 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal and 18 randomly selected major movies are researched. Answer the following questions. If necessary, round your answers to 4 decimal places. a) For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. b) For the group of 18 movies, find the probability that the average production cost is between 52 and 55 million dollars.

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