Which of the following is not an example of a discrete probability distribution?

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

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

A

Mode

B

Average mean

C

Correlation Analysis

D

Success and failure

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

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

An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same.
If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

A

0.453

B

0.468

C

0.485

D

0.492

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

The variable x takes a value between 0 and 10 with uniform probability distribution. The variable y takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables (x + y) being greater than 20 is

A

0.25

B

0.33

C

0.50

D

0

Which of the following is not an example of discrete probability distribution?

A

The number of persons in a room

B

The weight of a person

C

The number of rooms in a house

D

Is it going to rain tonight

Which of the following is not an example of a discrete probability distribution?

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