In: Statistics and Probability
The average production cost for major movies is 58 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 7 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.
What is the distribution of X? X ~ N ()
What is the distribution of ¯x? ¯x ~ N ()
For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars.
For the group of 7 movies, find the probability that the average production cost is between 52 and 55 million dollars.
the probability that the average production cost is between 52 and 55 million dollars.