Binomial distribution is a discrete probability distribution which expresses probability of one set of dichotomous alternatives known as

A probability distribution with right skew is shown in the figure.
Probability and Statistics mcq question image

The correct statement for the probability distribution is

A

Mean is equal to mode

B

Mean is greater than median but less than mode

C

Mean is greater than median and mode

D

Mode is greater than median

Statement I Exponential probability distribution has the mean = $$\frac{1}{\mu }$$ and variance = $$\frac{1}{{{\mu ^2}}}$$
Statement II The mean, median and mode do not coincide in the normal distribution.
Statement III The binomial distribution is symmetrical for any value of p (probability of success).

A

All the three statements are true

B

All the three statements are false

C

Statement I is true, while Statements II and III are false

D

Statement III is true, while. Statements I and II are false

If in a Binomial distribution P is very small and n is very large but nP = m. i.e., expected or mean value of binomial distribution is not negligible, then if approximate closely to the

A

Poisson Distribution

B

Correlation Analysis

C

Regression Analysis

D

Mode

The process of converting discrete-time continuous valued signal into discrete-time discrete valued (digital) signal is known as ____________

A

Sampling

B

Quantization

C

Coding

D

None of the mentioned

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.

A

Conclusion I follows

B

Conclusion II follows

C

Neither I nor II follows

D

Both I and II follows

The following two statements relate to probability distributions. Choose the correct statements being correct or incorrect.
Statement I When 'p' and 'q' are equal in the binomial distribution, the shape of the distribution is perfectly symmetrical irrespectiveof the size of 'n'.
Statement II The mean and the variance of poisson distribution are not equal.

A

Statement I is correct, but Statement II is incorrect

B

Statement II is correct, but Statement I is incorrect

C

Both statements are correct

D

Both statements are incorrect

Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)

A

Both 1 and 3

B

Both 3 and 4

C

1, 2 and 4

D

All of the above

If X is a discrete random variable that follows Binomial distribution, then which one of the following response relations is correct?

A

$${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} - {\text{r}}}}{{{\text{r}} + 1}}{\text{P}}\left( {\text{r}} \right)$$

B

$${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

C

$${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} + {\text{r}}}}{{{\text{r}} + 1}}\frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

D

$${\text{P}}\left( {{\text{r}} + 1} \right) = \frac{{{\text{n}} - {\text{r}}}}{{{\text{r}} + 1}}\frac{{\text{p}}}{{\text{q}}}{\text{P}}\left( {\text{r}} \right)$$

Arrange the following steps in sequence in order to calculate the probability of an event through Naïve Bayes classifier. I. Find the likelihood probability with each attribute for each class. II. Calculate the prior probability for given class labels. III. Put these values in Bayes formula and calculate posterior probability. IV. See which class has a higher probability, given the input belongs to the higher probability class.

A

I → II → III → IV

B

II → I → III → IV

C

III → II → I → IV

D

II → III → I → IV

The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct

Binomial distribution is a discrete probability distribution which expresses probability of one set of dichotomous alternatives known as

Related Questions