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In a workshop, three robots, Q, R and S, are employed to make chairs Robot Q makes 25% of the chairs Robot R makes 45% of the chairs The remaining chairs are made by Robot S. Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 percent of the chairs made by robot R, and 5 percent of the chairs made by robot S are.
(a) Construct a tree diagram that illustrates all possible outcomes and probabilities A chair is randomly selected.
(b) What is the probability that the chair that robot Q made is defective
(c) What is the probability of findings a broken chair
(d) Given that a chair is defective, what is the probability that it was not made by robot R
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