Plzz solved all question. Ty. 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 lessserious 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 5). (Round your answers to four decimal places.)P(X = 5) =P(X S 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 10 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X S 2)than to use the hypergeometric pmf.We can approximate the hypergeometric distribution with the Select-v distribution if the population size and the number of successes are large. Here n =and p = M/N =|Approximate P(Xx S 2) using that method. (Round your answer to three decimal places.)P(X $2)

Given, N=13D=10n=7N-D=(13-10)=3 Let X be the number among the first 7 examined that have a defective…

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Plzz solved all question. Ty.

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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Plzz solved all question. Ty.

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 5). (Round your answers to four decimal places.)
P(X = 5) =
P(X S 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 10 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X S 2)
than to use the hypergeometric pmf.
We can approximate the hypergeometric distribution with the Select-
v distribution if the population size and the number of successes are large. Here n =
and p = M/N =|
Approximate P(Xx S 2) using that method. (Round your answer to three decimal places.)
P(X $2)

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