5 - Binomna I Poasonova Raspodela

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| By Dzponia

Dzponia

Community Contributor

Quizzes Created: 3 | Total Attempts: 408

Questions: 12 | Attempts: 34 | Updated: Jul 28, 2023

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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 raspodelu

Explanation
This expression represents the probability of a random variable that has a binomial distribution.

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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 raspodelu

Explanation
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.

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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 <= 10

Explanation
The answer is np

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4.

Matematicko ocekivanje kod binomne raspodele iznosi:
- A.
  
  Npq
- B.
  
  Np
- C.
  
  Nq
- D.
  
  Pq
Correct Answer
B. Np

Explanation
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.

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5.

Matematicko ocekivanje kod Poasonove raspodele iznosi:
- A.
  
  Npq
- B.
  
  λ
- C.
  
  Nq
- D.
  
  Pq
Correct Answer
B. λ

Explanation
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.

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6.

Disperzija kod binomne raspodele iznosi:
- A.
  
  Npq
- B.
  
  Np
- C.
  
  Nq
- D.
  
  Pq
Correct Answer
A. Npq

Explanation
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.

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7.

Disperzija kod Poasonove raspodele iznosi:
- A.
  
  Npq
- B.
  
  λ
- C.
  
  Nq
- D.
  
  Pq
Correct Answer
B. λ

Explanation
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.

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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 prostora

Explanation
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.

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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 dogadjaja

Explanation
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.

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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 komponenti

Explanation
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.

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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 * p2

Explanation
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.

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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.

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5 - Binomna I Poasonova Raspodela

Ovaj izraz predstavlja verovatnocu slucajne promenljive koja ima:

Ovaj izraz predstavlja verovatnocu slucajne promenljive koja ima:

Binomna raspodela se moze aproksimirati Poasonovom raspodelom ako je:

Matematicko ocekivanje kod binomne raspodele iznosi:

Matematicko ocekivanje kod Poasonove raspodele iznosi:

Disperzija kod binomne raspodele iznosi:

Disperzija kod Poasonove raspodele iznosi:

Poasonova raspodela odnosi se na verovatnoce slucajnih promenljivih u:

U poasonovoj raspodeli parametar λ predstavlja:

Pouzdanost sistema:

Pouzdanost sistema koji se sastoji od dve redno povezane komponente je:

Pouzdanost sistema koji se sastoji od dve paralelno povezane komponente je: