ParagraphStyles2. A factory is producing components packed in boxes of 10. 1% of the components isknown to be defective. If a box is chosen at random:a) Find the probability that the box contains exactly 2 defective components.b) Find the probability that the box contains at least 2 defective components.17

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Answered: 2. A factory is producing components…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Components of a certain type are shipped to a supplier in batches of 40. Suppose that 50% of all such batches contain one defective component, 30% contain two defective components, and 20% contain three defective components. If you select 3 components at random (and without replacement) from a batch, find the probability that you will get exactly 1 defective component.
When ordering his new office equipment, Joe must choose one of 8 monitors, one of 9 printers, and one of 7 desk chair styles. Joe likes 1 of the monitors, 3 of the printers, and 2 of the desk chairs. If Joe’s boss randomly chooses his equipment for him, what is the probability that Joe will like all the boss’s choices? Enter a fraction or round your answer to 4 decimal places, if necessary.
In a factory, three machines A, B and C are operated to make certain parts of a device. The percentages of the parts manufactured by the machines A, B and C are 35%, 50% and 15% respectively. It is known that 8%, 5% and 16% of the parts produced by the machines A, B and C respectively are defective. If a part is randomly picked, calculate the probability that the part is from the machine A given that it is defective.
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2. A factory is producing components packed in boxes of 10. 1% of the components is known to be defective. If a box is chosen at random: a) Find the probability that the box contains exactly 2 defective components. b) Find the probability that the box contains at least 2 defective components.