SOLUTION: A Manufacturer makes three models of a television set, models A, B and C. A store sells 40% of a model A sets, 40% of a model B sets, and 20% of model C sets. Of model A sets, 3
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Question 353513: A Manufacturer makes three models of a television set, models A, B and C. A store sells 40% of a model A sets, 40% of a model B sets, and 20% of model C sets. Of model A sets, 3 % have stereo sound; of model B sets, 7 % have stereo sound; and of model C sets, 9% have stereo sound. If a set is sold at random, find the probability that it has stereo sound. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! The probability that a set taken is A is 0.40. Since 3% of these have stereo, the probability that a set taken is A with stereo is .
Similarly, the probability that a set taken is B with stereo is , and
the probability that a set taken is C with stereo is .
Since these events are mutually exclusive, or disjoint, the probability that a set taken has stereo is .