Each of 11 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 8 ofthese 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 6examined that have a defective compressor.(a) Calculate P(X= 4) and P(X ≤ 4). (Round your answers to four decimal places.)P(X= 4) =P(X ≤ 4) =(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 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly selected refrigerators that have defectivecompressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 5) than to use the hypergeometric pmf.distribution if the population size and the number of successes are large. Here n =We can approximate the hypergeometric distribution with the ---Select---and p = M/N =Approximate P(X ≤ 5) using that method. (Round your answer to three decimal places.)P(X ≤ 5) ~You may need to use the appropriate table in the Appendix of Tables to answer this question.

let X be the number among the first 6 examined that have a defective compressor. 8 refrigerators…

Answered: ese refrigerators have a defective…

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...

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