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A manufacturer makes three models of a television set , models A, B and C. A...

A manufacturer makes three models of a television set , models A, B and C. A shares model A sets, 35% of model B sets, and 25% of model C set. Of model A sets,39% sound; of model B sets, 7% have stereo sound; and model C sets 9% have stereo if a set is sold at random:

a) Find the probability that it has stereo sound.

b) If the set has a stereo sound, find the probability it is of model A.

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Answer #1

The proportions of sets A, B and C are .

Define the event

The following conditional probabilities are given.

a)Using the total probability theorem,

b) Using conditional probability (Bayes theorem),

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