Normal distribution of movie lengths A recent study
Chapter 5, Problem 52E(choose chapter or problem)
Normal distribution of movie lengths A recent study revealed that the lengths of U.S. movies are normally distributed with a mean of 110 min and a standard deviation of 22 min. This means that the fraction of movies with lengths between a and b minutes (with a<b ) is given by the integral
\(\frac{1}{22 \sqrt{2 \pi}} \int_{a}^{b} e^{-[(x-110) / 22]^{3} / 2} d x\)
What percentage of U.S. movies are between 1 hr and 1.5 hr long (60-90 min)?
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