# Basics of Statistics and Probability Interview Question-Answer

Q.1 __________ contains all the elements of a dataset.

A. Population

B. Sample

C. Event

D. None of the options

Ans : Population

Q.2 Descriptive Statistics works on __________ dataset.

A. Sample

B. Population

C. Both the options

Ans : Sample

Q.3 __________ is an art of learning data.

A. Statistics

B. Probability

C. Both the options

D. None of the options

Ans : Statistics

Q.4 The probability of committing a Type 1 error is called __________.

A. Significance Level

B. Power of Test

C. None of the options

D. All the options

Ans : Significance Level

Q.5 __________ provides the summary statistics of data.

A. Descriptive Statistics

B. Inferential Statistics

Ans : Descriptive Statistics

Q.6 In __________ test, the region of rejection is only on one side of the sampling distribution.

A. Two-tailed

B. One-tailed

Ans : One-tailed

Q.7 __________ is calculated by multiplying each of the possible outcomes in the sample space with the likelihood of their occurrence, and then summing up all the values.

A. Standard Deviation

B. Expected Value

C. Variance

D. None of the options

Ans : Expected Value

Q.8 Any event containing two or more elements of the sample space is known as a ___________.

A. Compound Event

B. Simple Event

C. Mutually Exclusive Event

D. Dependent Event

Ans : Mutually Exclusive Event

Q.9 __________ helps to make inferences about a population.

A. Descriptive Statistics

B. Inferential Statistics

C. All the options

D. None of the options

Ans : Inferential Statistics

Q.10 A __________ random variable takes infinite number of values.

A. Continuous

B. Discrete

C. All the options

D. None of the options

Ans : Continuous

Q.11 Null Hypothesis must be rejected if P-Value is __________ than Significance Level.

A. Lesser

B. Greater

Ans : Lesser

Q.12 Null Hypothesis and Alternative Hypothesis must be __________.

A. Mutually exclusive

B. Non-mutually exclusive

Ans : Mutually exclusive

Q.13 P-Value measures the strength of evidence in support of a null hypothesis.

A. True

B. False

Ans : True

Q.14 The __________ states that no significant difference exists between a set of variables.

A. Alternative Hypothesis

B. Null Hypothesis

C. None of the options

D. All the options

Ans : Null Hypothesis

Q.15 __________ enable to observe data dispersion from a central point.

A. Mean and Median

B. Range, Standard Deviation, and Variance

C. Range and Median

D. Mean, Median, and Mode

Ans : Range, Standard Deviation, and Variance

Q.16 F Distribution and T Distribution are examples of __________.

A. Continuous Distribution

B. Discrete Distribution

C. All the options

D. None of the options

Ans : Continuous Distribution

Q.17 The letter e in a Poisson experiment denotes __________.

A. The mean number of successes that occur in a specified region

B. A constant whose value is approximately 2.71828

C. The actual number of successes that occur in a specified region

D. All the options

Ans : A constant whose value is approximately 2.71828

Q.18 Discrete Distribution includes __________.

A. Binomial and Chi-Square

B. Poisson and Normal Distribution

C. Binomial and Poisson

D. None of the options

Ans : Binomial and Poisson

Q.19 The probability of an event ( B ), given that another ( A ) has already occurred is denoted by __________.

A. P(A AND B)

B. P(A|B)

C. P(A OR B)

D. P(B|A)

Ans : P(A AND B)

Q.20 Formal procedures used by statisticians to accept or reject hypotheses is called __________.

A. Statistical Hypothesis

B. Hypothesis Testing

C. None of the options

Ans : Hypothesis Testing

Q.21 __________ calculates the number of events occurring in a specific period, when given the average number of times the event occurs in that time span.

A. Poisson Distribution

B. Binomial Distribution

C. Normal Distribution

D. Uniform Distribution

Ans : Poisson Distribution

Q.22 What variable can take only a countable number of values?

A. Continuous

B. Discrete

C. None of the options

D. All the options

Ans : Discrete

Q.23 A Discrete Random value can take any value within an interval on the real line.

A. True

B. False

Ans : True

Q.24 Type 2 Error occurs when a researcher fails to reject a false null hypothesis.

A. True

B. False

Ans : True

Q.25 Sample is a subset of population.

A. True

B. False

Ans : True

Q.26 Is the process of applying logical or statistical techniques to evaluate and describe data in a meaningful way.

Ans : Data Analysis

Q.27 Holds the responsibility of describing the data collected.

Ans : Statistics

Q.28 Descriptive Statistics works on __________ dataset.

Ans : Sample

Q.29 The Hypothesis test process contains __________ steps.

Ans : 5

Q.30 The process of setting up a range of values within which a parameter is included is called __________.

Ans : Confidence Intervals

Q.31 Probability of getting either a King or Queen card in a deck of cards is an example of __________.

Ans : Non-mutually Exclusive Event

Q.32 Statistical Hypothesis is an assumption about Sample Parameter.

A. True

B. False

Ans : False

Q.33 The probability of committing a Type 1 error is called __________.

Ans : Significance Level

Q.34 A set of events devouring the entire sample space is called __________.

Ans : Exhaustive Event

Q.35 The letter e in a Poisson experiment denotes __________. A constant whose value is approximately

Ans : 2.71828

Q.36 An entertainment company specifies that its employees must weigh between 40 kgs – 50 kgs. If X is the random variable denoting the weights of employees, X is a __________ random variable.

Ans : Continuous

Q.37 __________ represents the outcome of a statistical experiment in numerical values.

Ans : Random Variable

Q.38 The probability of not committing a __________ error is called Power of Test.

Ans : Type 2

Q.39 In a Binomial experiment, the letter P is used to denote __________.

Ans : The probability of success on an individual trial

Q.40 In a __________ experiment, each trial can result in either of the two outcomes only.

Ans : Binomial