Assume that shoes are produced in three countries: 20 percent in Venezuela, 50 percent in Korea, and 30 percent in Canada. At the plant in each country, two types of shoes are made: racing shoes and training shoes. The production at each plant as allocated as shown in the table below. The shoes are randomly distributed to stores in the United States, and you purchase one pair from one of these stores. Plant Racing Training Venezuela 0.4 0.6 Korea 0.7 0.3 Canada 0.8 0.2 If you purchase a pair of training shoes selected at random, what is the probability that they were made in Venezuela? equation editorEquation Editor
Solution:- If you purchase a pair of training shoes selected at random, what is the probability that they were made in Venezuela is 0.364.
Plant | Racing | Training |
Venezuala | 0.40 | 0.60 |
Korea | 0.70 | 0.30 |
Canada | 0.80 | 0.20 |
P(Venezuala) = 0.20
P(Korea) = 0.50
P(Canada) = 0.30
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