Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 10 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. 10 (b) The probability that the first randomly selected chip is defective is E po0 = 0.002 0.2%. 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 10 of the chips are defective.
(a) Compute the probability that two randomly selected chips are defective using conditional probability
10
(b) The probability that the first randomly selected chip is defective is
5,000
0.002 0.2%.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.
OC. 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.
Click to select your answer(s).
10:20 AM
5/6/2021
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Transcribed Image Text:Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 10 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability 10 (b) The probability that the first randomly selected chip is defective is 5,000 0.002 0.2%.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. OC. 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. Click to select your answer(s). 10:20 AM 5/6/2021 P Type here to search Chp insert prt sc fs f4 IDI f3 esc backspac 80 3 4 LE G H F. K. 96 5 96 %24
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