6 - Normalna Raspodela - Quiz & Trivia

1. Ako je P( 2 <= x <= 9 ) i N(0,1) onda je:

A)

B)

C)

D)

not-available-via-ai

Explanation

not-available-via-ai

2. Normalna raspodela se zove i:

Poasonova raspodela

Binomna raspodela

Gausova raspodela

Bernulijeva raspodlea

The correct answer is "Gausova raspodela". This is because the question is asking for another name for the normal distribution, and "Gausova raspodela" is the Serbian translation for "Gaussian distribution" or "Normal distribution".

Explanation

The correct answer is "Gausova raspodela". This is because the question is asking for another name for the normal distribution, and "Gausova raspodela" is the Serbian translation for "Gaussian distribution" or "Normal distribution".

3. Ako se vrsi aproksimacija binomne raspodele normalnom, koristimo vezu:

A)

B)

C)

D)

When approximating a binomial distribution to a normal distribution, we use the formula mentioned in option b).

Explanation

When approximating a binomial distribution to a normal distribution, we use the formula mentioned in option b).

4. Ako je u pitanju binomna raspodela i np > 10, aproksimacija se vrsi:

Normalnom raspodelom

Poasonovom raspodelom

Gausovom raspodelom

Nikada se ne vrsi

If the binomial distribution is used and np > 10, the approximation is done using the normal distribution. This is because when np > 10, the binomial distribution can be approximated by the normal distribution due to the Central Limit Theorem. Therefore, the correct answer is using the normal distribution for the approximation.

Explanation

If the binomial distribution is used and np > 10, the approximation is done using the normal distribution. This is because when np > 10, the binomial distribution can be approximated by the normal distribution due to the Central Limit Theorem. Therefore, the correct answer is using the normal distribution for the approximation.

5. Ako se vrsi aproksimacija binomne raspodele normalnom, slucajna promenljiva je oblika:

A)

B)

C)

D)

When approximating a binomial distribution with a normal distribution, the shape of the random variable is represented by the letter "c".

Explanation

When approximating a binomial distribution with a normal distribution, the shape of the random variable is represented by the letter "c".

6. Kod normalne raspodele varijansa je:

A)

B)

C)

D)

The question is asking for the variance of a normal distribution. The variance of a normal distribution is denoted by the symbol σ^2. Therefore, the correct answer is a) because it is the only option that includes a symbol denoting variance.

Explanation

The question is asking for the variance of a normal distribution. The variance of a normal distribution is denoted by the symbol σ^2. Therefore, the correct answer is a) because it is the only option that includes a symbol denoting variance.

7. Ako je P( -2 <= x <= 9 ) i N(0,1) onda je:

A)

B)

C)

D)

not-available-via-ai

Explanation

not-available-via-ai

8. Funkcija raspodele kod normalne raspodele je:

A)

B)

C)

D)

The correct answer is b) because the distribution function for a normal distribution is a cumulative distribution function (CDF) that gives the probability that a random variable is less than or equal to a certain value. It is a continuous function that ranges from 0 to 1 and is used to calculate probabilities and percentiles in a normal distribution.

Explanation

The correct answer is b) because the distribution function for a normal distribution is a cumulative distribution function (CDF) that gives the probability that a random variable is less than or equal to a certain value. It is a continuous function that ranges from 0 to 1 and is used to calculate probabilities and percentiles in a normal distribution.

9. Funkcija gustine kod normalne raspodele je:

A)

B)

C)

D)

The correct answer is a) because the density function for a normal distribution is a bell-shaped curve that is symmetric around the mean. It is characterized by two parameters: the mean and the standard deviation. The density function describes the probability of observing a particular value or range of values from the distribution.

Explanation

The correct answer is a) because the density function for a normal distribution is a bell-shaped curve that is symmetric around the mean. It is characterized by two parameters: the mean and the standard deviation. The density function describes the probability of observing a particular value or range of values from the distribution.

10. Kod standardne normalne raspodele matematicko ocekivanje je:

A)

B)

C)

D)

The correct answer is c) because the mean of a standard normal distribution is always 0. In a standard normal distribution, the values are centered around the mean, with a symmetrical bell-shaped curve. So, the mean or mathematical expectation is always 0 in this case.

Explanation

The correct answer is c) because the mean of a standard normal distribution is always 0. In a standard normal distribution, the values are centered around the mean, with a symmetrical bell-shaped curve. So, the mean or mathematical expectation is always 0 in this case.

11. Za standardnu normalnu raspodelu koristi se oznaka:

A)

B)

C)

D)

The correct answer is c) because the standard normal distribution is commonly denoted by the letter "Z".

Explanation

The correct answer is c) because the standard normal distribution is commonly denoted by the letter "Z".

12. Ako je ___ i N(0,1) onda je:

A)

B)

C)

D)

not-available-via-ai

Explanation

not-available-via-ai

13. Kod standardne normalne raspodele varijansa je:

A)

B)

C)

D)

The correct answer is c) because the standard normal distribution has a variance of 1. This means that the spread of the data in a standard normal distribution is consistent and predictable, with a variance of 1.

Explanation

The correct answer is c) because the standard normal distribution has a variance of 1. This means that the spread of the data in a standard normal distribution is consistent and predictable, with a variance of 1.

14. Za normalnu raspodelu koristi se oznaka:

A)

B)

C)

D)

The correct answer is d) because for a normal distribution, the standard notation is N(μ, σ^2), where μ represents the mean and σ^2 represents the variance. The letter "d" is the only option that represents a possible notation for a normal distribution.

Explanation

The correct answer is d) because for a normal distribution, the standard notation is N(μ, σ^2), where μ represents the mean and σ^2 represents the variance. The letter "d" is the only option that represents a possible notation for a normal distribution.

15. Funkcija raspodele za normalnu slucajnu promenljivu:

Nije elementarna funkcija

Jeste elementarna funkcija

Vrednost mora da se cita iz tablica

Vrednost moze da se cita iz tablica

The correct answer is "Nije elementarna funkcija". This means that the distribution function for a normal random variable is not an elementary function. An elementary function is a function that can be expressed using a finite number of basic arithmetic operations (such as addition, subtraction, multiplication, division) and elementary functions (such as exponentials, logarithms, trigonometric functions). In the case of a normal distribution, the distribution function involves the use of the cumulative distribution function (CDF) which cannot be expressed in terms of elementary functions. Therefore, the value of the distribution function for a normal random variable cannot be obtained by simple calculations and must be read from tables or calculated using numerical methods.

Explanation

The correct answer is "Nije elementarna funkcija". This means that the distribution function for a normal random variable is not an elementary function. An elementary function is a function that can be expressed using a finite number of basic arithmetic operations (such as addition, subtraction, multiplication, division) and elementary functions (such as exponentials, logarithms, trigonometric functions). In the case of a normal distribution, the distribution function involves the use of the cumulative distribution function (CDF) which cannot be expressed in terms of elementary functions. Therefore, the value of the distribution function for a normal random variable cannot be obtained by simple calculations and must be read from tables or calculated using numerical methods.

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16. Kod normalne raspodele matematicko ocekivanje je:

A)

B)

C)

D)

In a normal distribution, the mean or average is represented by the symbol "μ" (mu). Therefore, the correct answer is a) because it is the option that represents the mathematical expectation or mean in a normal distribution.

Explanation

In a normal distribution, the mean or average is represented by the symbol "μ" (mu). Therefore, the correct answer is a) because it is the option that represents the mathematical expectation or mean in a normal distribution.