5 - Binomna I Poasonova Raspodela
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Questions and Answers
- 1.
Ovaj izraz predstavlja verovatnocu slucajne promenljive koja ima:
- A.
Poasonovu raspodelu
- B.
Binomnu raspodelu
- C.
Bernulijevu raspodelu
- D.
Laplasovu raspodelu
Correct Answer
B. Binomnu raspodeluExplanation
This expression represents the probability of a random variable that has a binomial distribution.Rate this question:
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- 2.
Ovaj izraz predstavlja verovatnocu slucajne promenljive koja ima:
- A.
Poasonovu raspodelu
- B.
Binomnu raspodelu
- C.
Bernulijevu raspodelu
- D.
Laplasovu raspodelu
Correct Answer
A. Poasonovu raspodeluExplanation
This expression represents the probability of a random variable that follows a Poisson distribution. The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space, given the average rate of occurrence. It is commonly used in situations where events occur independently and at a constant average rate.Rate this question:
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- 3.
Binomna raspodela se moze aproksimirati Poasonovom raspodelom ako je:
- A.
Np = 10
- B.
Np > 10
- C.
Np < 10
- D.
Np <= 10
Correct Answer
D. Np <= 10Explanation
The answer is npRate this question:
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- 4.
Matematicko ocekivanje kod binomne raspodele iznosi:
- A.
Npq
- B.
Np
- C.
Nq
- D.
Pq
Correct Answer
B. NpExplanation
The correct answer is np. In a binomial distribution, the expected value or mean is equal to the product of the number of trials (n), the probability of success (p), and the probability of failure (q). Therefore, the formula for the expected value in a binomial distribution is np.Rate this question:
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- 5.
Matematicko ocekivanje kod Poasonove raspodele iznosi:
- A.
Npq
- B.
λ
- C.
Nq
- D.
Pq
Correct Answer
B. λExplanation
The correct answer is λ because in a Poisson distribution, the expected value or mean is denoted by λ. It represents the average number of events that occur in a given time period or space. It is calculated by multiplying the rate parameter (average rate of events) by the time period or space.Rate this question:
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- 6.
Disperzija kod binomne raspodele iznosi:
- A.
Npq
- B.
Np
- C.
Nq
- D.
Pq
Correct Answer
A. NpqExplanation
The correct answer is npq. In a binomial distribution, npq represents the variance, or dispersion. "n" represents the number of trials, "p" represents the probability of success in each trial, and "q" represents the probability of failure in each trial. The product of npq gives the measure of dispersion, indicating how spread out the distribution is.Rate this question:
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- 7.
Disperzija kod Poasonove raspodele iznosi:
- A.
Npq
- B.
λ
- C.
Nq
- D.
Pq
Correct Answer
B. λExplanation
The correct answer is λ because in the context of Poisson distribution, the parameter λ represents the average rate of an event occurring in a given time or space. It is equal to the product of the number of trials (n), the probability of success (p), and the probability of failure (q). Therefore, the correct answer is λ.Rate this question:
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- 8.
Poasonova raspodela odnosi se na verovatnoce slucajnih promenljivih u:
- A.
Jedinici vremena
- B.
Jedinici prostora
- C.
Ne odnose se na jedinice vremena
- D.
Ne odnose se na jedinice prostora
Correct Answer(s)
A. Jedinici vremena
B. Jedinici prostoraExplanation
The correct answer is "Jedinici vremena, Jedinici prostora". The term "Poasonova raspodela" refers to the Poisson distribution, which is a probability distribution that describes the number of events occurring in a fixed interval of time or space. Therefore, it applies to both units of time and units of space.Rate this question:
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- 9.
U poasonovoj raspodeli parametar λ predstavlja:
- A.
Srednju vrednost
- B.
Prosecan broj dogadjaja
- C.
Matematicku konstantu
- D.
Broj realizovanih dogadjanja
Correct Answer(s)
A. Srednju vrednost
B. Prosecan broj dogadjajaExplanation
The parameter λ in a Poisson distribution represents the average or mean number of events or occurrences in a given time period or interval. It is used to calculate the probability of a specific number of events happening within that interval. Therefore, it can be interpreted as both the average or mean number of events and the average or mean rate of events occurring.Rate this question:
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- 10.
Pouzdanost sistema:
- A.
Je verovatnoca da sistem radi
- B.
Zavisi od pouzdanosti svih komponenti
- C.
Ne zavisi od pouzdanosti komponenti
- D.
Zavisi od pouzdanosti samo osnovnih komponenti
Correct Answer(s)
A. Je verovatnoca da sistem radi
B. Zavisi od pouzdanosti svih komponentiExplanation
The correct answer is "je verovatnoca da sistem radi, zavisi od pouzdanosti svih komponenti." This means that system reliability is the probability that the system will function properly and it depends on the reliability of all components. In other words, the reliability of the system is influenced by the reliability of each individual component working together.Rate this question:
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- 11.
Pouzdanost sistema koji se sastoji od dve redno povezane komponente je:
- A.
P1 * p2
- B.
P1 + p2
- C.
(1-p1) * (1-p2)
- D.
1-(1-p1) * (1-p2)
Correct Answer
A. P1 * p2Explanation
The given question is in Serbian language and it asks for the reliability of a system consisting of two components connected in series. The correct answer is p1 * p2, which means that the reliability of the system is equal to the product of the reliabilities of the two components. This is because in a series connection, both components need to function properly for the system to be reliable. Therefore, the overall reliability is determined by multiplying the reliabilities of the individual components.Rate this question:
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- 12.
Pouzdanost sistema koji se sastoji od dve paralelno povezane komponente je:
- A.
P1 * p2
- B.
P1 + p2
- C.
(1-p1) * (1-p2)
- D.
1-(1-p1) * (1-p2)
Correct Answer
D. 1-(1-p1) * (1-p2)Explanation
The correct answer is 1-(1-p1) * (1-p2) because it represents the reliability of a system consisting of two parallel connected components. The formula 1-(1-p1) * (1-p2) calculates the probability that at least one of the components is functioning properly. By subtracting the probability that both components fail (1-p1) * (1-p2) from 1, we get the probability of the system being reliable.Rate this question:
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Jul 28, 2023Quiz Edited by
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Jan 13, 2020Quiz Created by
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