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QUESTION

# Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company.​ Unfortunately, 60of the chips are defective.​(a) Compute the probability that two randomly selec

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company.​ Unfortunately, 60of the chips are defective.​(a) Compute the probability that two randomly selected chips are defective using conditional probability.​

(b) The probability that the first randomly selected chip is defective is 60/10,000=  0.006= 0.6 %Compute the probability that two randomly selected chips are defective under the assumption of independent events.

​(a) The probability is __ ​(Round to eight decimal places as​ needed.)​

(b) The probability is __​(Round to eight decimal places as​ needed.)

When small samples are taken from large populations without​ replacement, the assumption of independence does not significantly affect the probability. Based on the​ results, what does this​ mean?A.The probabilities are nearly the same.B.The probabilities are exactly the same.C.The probabilities are very​ different, but the probability found assuming independent events is​ larger, so it does not matter.D.The probabilities are very​ different, but the probability found assuming independent events is​ smaller, so it does not matter.