In a plant with 3 machines A, B and C, the same product is manufactured. Machine A produces 55% of the total items, while 25% and 20% are produced by machines B and C, respectively. In addition, the average number of defective items produced by each of the machines is known: 2%, 1.5% and 3%. The general supervisor discovers two defective items ready to go on sale. a) What is the probability that a defective item was produced by each of the three machines? b) What is the probability that the two defective items were produced by each of the three machines? c) What is the most likely event: that the defective items have been produced by machine A; B; C; one for A, another for B; C?

In a plant with 3 machines A, B and C, the same product is manufactured. Machine A produces 55% of the total items, while 25% and 20% are produced by machines B and C, respectively. In addition, the average number of defective items produced by each of the machines is known: 2%, 1.5% and 3%. The general supervisor discovers two defective items ready to go on sale. a) What is the probability that a defective item was produced by each of the three machines? b) What is the probability that the two defective items were produced by each of the three machines? c) What is the most likely event: that the defective items have been produced by machine A; B; C; one for A, another for B; C?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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