Each of 12 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 9 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 s 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 20 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X S 6) than to use the hypergeometric pmf. and p= M/N We can approximate the hypergeometric distribution with the -Select- Approximate P(X s 6) using that method. (Round your answer to three decimal places.) P(XS 6) distribution if the population size and the number of successes are large. Here n

Each of 12 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 9 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 s 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 20 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X S 6) than to use the hypergeometric pmf. and p= M/N We can approximate the hypergeometric distribution with the -Select- Approximate P(X s 6) using that method. (Round your answer to three decimal places.) P(XS 6) distribution if the population size and the number of successes are large. Here n

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks