Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 9 examined that have a defective compressor. (a) Calculate P(X = 7) and P(X ≤7). (Round your answers to four decimal places.) P(X = 7) = P(X ≤7) = (b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.) (c) Consider a large shipment of 700 refrigerators, of which 70 have defective compressors. If X is the number among 20 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 6) than to use the hypergeometric pmf. We can approximate the hypergeometric distribution with the ---Select--- and the number of successes are large. Here n = and p = M/N = distribution if the population size Approximate P(X ≤6) using that method. (Round your answer to three decimal places.) P(X ≤ 6) ≈ You may need to use the appropriate table in the Appendix of Tables to answer this question.
Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 9 examined that have a defective compressor. (a) Calculate P(X = 7) and P(X ≤7). (Round your answers to four decimal places.) P(X = 7) = P(X ≤7) = (b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.) (c) Consider a large shipment of 700 refrigerators, of which 70 have defective compressors. If X is the number among 20 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 6) than to use the hypergeometric pmf. We can approximate the hypergeometric distribution with the ---Select--- and the number of successes are large. Here n = and p = M/N = distribution if the population size Approximate P(X ≤6) using that method. (Round your answer to three decimal places.) P(X ≤ 6) ≈ You may need to use the appropriate table in the Appendix of Tables to answer this question.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
Transcribed Image Text:Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating
noise when the refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other
5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 9
examined that have a defective compressor.
(a) Calculate P(X = 7) and P(X ≤7). (Round your answers to four decimal places.)
P(X = 7) =
P(X ≤7) =
(b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to
four decimal places.)
(c) Consider a large shipment of 700 refrigerators, of which 70 have defective compressors. If X is the number among 20
randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least
approximately) P(X ≤ 6) than to use the hypergeometric pmf.
We can approximate the hypergeometric distribution with the ---Select---
and the number of successes are large. Here n =
and p = M/N =
distribution if the population size
Approximate P(X ≤6) using that method. (Round your answer to three decimal places.)
P(X ≤ 6) ≈
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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