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type has been ributor an audible, high-pitched, oscillating noise when refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X= 5) and P(X ≤ 5). (Round your answers to four decimal places.) P(X= 5) = P(X ≤ 5) = (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 500 refrigerators, of which 50 have defective compressors. If X is the number among 25 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 binomial successes are large. Here n = and p = M/N = distribution if the population size and the number of

type has been ributor an audible, high-pitched, oscillating noise when refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X= 5) and P(X ≤ 5). (Round your answers to four decimal places.) P(X= 5) = P(X ≤ 5) = (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 500 refrigerators, of which 50 have defective compressors. If X is the number among 25 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 binomial successes are large. Here n = and p = M/N = distribution if the population size and the number of

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Each of 13 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 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X= 5) and P(X ≤ 5). (Round your answers to four decimal places.) P(X= 5) = P(X ≤ 5) = (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 500 refrigerators, of which 50 have defective compressors. If X is the number among 25 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 binomial successes are large. Here n = and p = M/N = distribution if the population size and the number of 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. Need Help? Read It
Transcribed Image Text:Each of 13 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 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X= 5) and P(X ≤ 5). (Round your answers to four decimal places.) P(X= 5) = P(X ≤ 5) = (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 500 refrigerators, of which 50 have defective compressors. If X is the number among 25 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 binomial successes are large. Here n = and p = M/N = distribution if the population size and the number of 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. Need Help? Read It
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