ach of 13 refrigerators of a certain type has been retu to a use of an audible, hig mese refrigerators have a defective compressor and the other 5 have less serious problems. If the refi 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. (RC TE S
ach of 13 refrigerators of a certain type has been retu to a use of an audible, hig mese refrigerators have a defective compressor and the other 5 have less serious problems. If the refi 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. (RC TE S
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 8 of
these refrigerators have a defective compressor and the other 5 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 15 randomly selected refrigerators that have defective
compressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 3) than to use the hypergeometric pmf.
distribution if the population size and the number of successes are large. Here
We can approximate the hypergeometric distribution with the
and p = M/N =
n=
--Select---
Approximate P(X ≤ 3) using that method. (Round your answer to three decimal places.)
P(X ≤ 3) *
this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16cbd5c2-fb88-434e-ad72-693f4b78f768%2Fa62d474e-5c99-4069-acd6-11f6ef6c47ac%2Fau15gn_processed.jpeg&w=3840&q=75)
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 8 of
these refrigerators have a defective compressor and the other 5 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 15 randomly selected refrigerators that have defective
compressors, describe a less tedious way to calculate (at least approximately) P(X ≤ 3) than to use the hypergeometric pmf.
distribution if the population size and the number of successes are large. Here
We can approximate the hypergeometric distribution with the
and p = M/N =
n=
--Select---
Approximate P(X ≤ 3) using that method. (Round your answer to three decimal places.)
P(X ≤ 3) *
this question.
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