Question

1. Let the universe U be the 137 movies that grossed at least $150 million in...

1. Let the universe U be the 137 movies that grossed at least $150 million in the U.S in 2013. They can be categorized as follows:
64        action movies                          Let A = { action movies }
75        rated PG-13                             Let P = { movies rated PG-13 }
52        two hours or longer                 Let L = { movies running two hours or longer }
38        action and PG-13
27        action and two hours or longer
24        rated PG-13 and two hours or longer
15        action, rated PG-13, and two hours or longer
Draw a Venn diagram with three overlapping circles labeled A, P, and L in a rectangle labeled U and use the information above to place numbers in all the regions.

(a) How many movies were action or rated PG-13?
(b) How many movies were neither action, PG-13, nor two hours or longer?

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Answer #2

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