Desktop or laptop A computer company makes desktop and

Chapter 7, Problem 7.66

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Desktop or laptop? A computer company makes desktop and laptop computers at factories in three statesCalifornia, Texas, and New York. Th e California factory produces 40% of the companys computers, the Texas factory makes 25%, and the remaining 35% are manufactured in New York. Of the computers made in California, 75% are laptops. Of those made in Texas and New York, 70% and 50%, respectively, are laptops. All computers are fi rst shipped to a distribution center in Missouri before being sent out to stores. Suppose we select a computer at random from the distribution center.12 (a) Construct a tree diagram to represent this situation. (b) Find the probability that the computer is a laptop. Show your work. (c) Given that the computer is a laptop, fi nd the probability that it came from the Texas factory.

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