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The 2018 superhero movie Black Panther is a massive box office success. The film's producers are already planning a sequel.
The 2018 superhero movie Black Panther is a massive box office success. The film's producers are already planning a sequel. They are interested in how long a movie goer stays in the theater and watches the entire film and credits. The time a single movie goers spends in the theater to when they leave varies evenly from 120 to 138 minutes.
a) What is the probability that a movie goer stays for at most 130 minutes? State the distribution and parameter(s) you are using.
b) What is the probability that the movie goer stays for exactly 131 minutes?
c) What is the average amount of time that a movie goer spends in the theater?
d) What is the standard deviation of the amount of time a viewer stays in the theater?
e) Find the cut-off for the lower quartile of time spent in the theater watching the film.
f) Knowing a randomly chosen person spends at least 123 minutes, what is the probability that viewer spends less than 134 minutes?
