6.55 A shipment of 5000 printed circuit boards contains 40 that are defective. Two boards will be...

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6.55 A shipment of 5000 printed circuit boards contains 40 that are defective. Two boards will be chosen at random, without replacement. Consider the two events E1 5 event that the first board selected is defective and E2 5 event that the second board selected is defective.

a. Are E1 and E2 dependent events? Explain in words.

b. Let not E1 be the event that the first board selected is not defective sthe event EC1

d. What is Psnot E1 d?

c. How do the two probabilities PsE2uE1d and PsE2unot E1d compare?

d. Based on your answer to Part (c), would it be reasonable to view E1 and E2 as approximately independent?

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Arpan Sarkar

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