The average production cost for major movies is 60 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 36 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? ã ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 59 million dollars. d. For the group of 36 movies, find the probability that the average production cost is between 57 and 59 million dollars. e. For part d), is the assumption of normal necessary? OYes ONo

Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. __________c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 80 mph. ___________d. 60% of all cars travel at least how fast on the freeway?_____________  mph.

Please answer B, C, & D.

in "a" the blank is "z" and "t" distribution