Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 40 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. 40 (b) The probability that the first randomly selected chip is defective is 5,000 0.008 0.8%. 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? O A. The probabilities are nearly the same. O B. The probabilities are very different, but the probability found assuming independent events is larger, so it does not matter. O C. The probabilities are exactly the same. O D. The probabilities are very different, but the probability found assuming independent events is smaller, so it does not matter.

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Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 40 of the chips are defective.
(a) Compute the probability that two randomly selected chips are defective using conditional probability.
40
5.000
(b) The probability that the first randomly selected chip is defective is
(a) The probability is
(Round to eight decimal places as needed.)
= 0.008 = 0.8%. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
C
(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?
O A. The probabilities are nearly the same.
O B. The probabilities are very different, but the probability found assuming independent events is larger, so it does not matter.
O C. The probabilities are exactly the same.
O D. The probabilities are very different, but the probability found assuming independent events is smaller, so it does not matter.
Transcribed Image Text:Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 40 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. 40 5.000 (b) The probability that the first randomly selected chip is defective is (a) The probability is (Round to eight decimal places as needed.) = 0.008 = 0.8%. Compute the probability that two randomly selected chips are defective under the assumption of independent events. C (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? O A. The probabilities are nearly the same. O B. The probabilities are very different, but the probability found assuming independent events is larger, so it does not matter. O C. The probabilities are exactly the same. O D. The probabilities are very different, but the probability found assuming independent events is smaller, so it does not matter.
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