Draw a tree diagram. A part is chosen at random and turns out to be defective; Find the probability that it was produced by machine B. b)) It is known that the selected piece has no defects, calculate the probability that it was made by machine A.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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4. Three machines, A, B and C produce 39%, 33% and 28% respectively of the total parts produced in a factory. The percentages of defective production of these machines are 1.3%, 1.1% and 1.2% respectively.
a) Draw a tree diagram. A part is chosen at random and turns out to be defective; Find the probability that it was produced by machine B.
b)) It is known that the selected piece has no defects, calculate the probability that it was made by machine A.

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