Thank you in advance! Components of a certain type are shipped to a supplier in

Question

Thank you in advance!

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 53% of all such batches contain no defective components, 28% contain one defective component, and 19% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.)

(a) Neither tested component is defective.

(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]

Explanation / Answer

a)Two components from a batch are randomly selected and tested.

The probability that there is no defective components: 0.53*0.53=0.2809

The probability that there is only one defective component: 0.28*0.53=0.1484

The probability that there are two defective components: 0.19*0.19=0.0361

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