Each of 13 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when therefrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 3 have less serious problems. If therefrigerators 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 selectedrefrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 6) than to use thehypergeometric pmf.We can approximate the hypergeometric distribution with the binomialsuccesses are large. Here n =and p = M/N =distribution if the population size and the number ofApproximate 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

Population size Sample size Number of defectives in the population Let X be the number among the…

Answered: type has been ributor an audible,…

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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