The average production cost for major movies is 57 million dollars and the standard deviation is 22 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.

1.) For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 57 million dollars.

2.) For the group of 6 movies, find the probability that the average production cost is between 52 and 57 million dollars.

The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.3 minutes. 10 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.

3.) If one randomly selected runner is timed, find the probability that this runner's time will be between 23.009 and 23.609 minutes

4.) For the 10 runners, find the probability that their average time is between 23.009 and 23.609 minutes