This set of Data Science Multiple Choice Questions & Answers (MCQs) focuses on “Introduction to Statistical Inference”.

1. Which of the following is the probability calculus of beliefs, given that beliefs follow certain rules ?

a) Bayesian probability

b) Frequency probability

c) Frequency inference

d) Bayesian inference

View Answer

Explanation: Data scientists tend to fall within shades of gray of these and various other schools of inference.

2. Point out the correct statement:

a) Bayesian inference is the use of Bayesian probability representation of beliefs to perform inference

b) NULL is the standard missing data marker used in S

c) Frequency inference is the use of Bayesian probability representation of beliefs to perform inference

d) None of the Mentioned

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Explanation: Frequency probability is the long run proportion of times an event occurs in independent, identically distributed repetitions.

3. Which of the following can be considered as random variable ?

a) The outcome from the roll of a die

b) The outcome of flip of a coin

c) The outcome of exam

d) All of the Mentioned

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Explanation: The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values.

4. Which of the following random variable that take on only a countable number of possibilities?

a) Discrete

b) Non Discrete

c) Continuous

d) All of the Mentioned

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Explanation: Continuous random variable can take any value on the some subset of the real line.

5. Point out the wrong statement:

a) A random variable is a numerical outcome of an experiment

b) There are three types of random variable

c) Continuous random variable can take any value on the real line

d) None of the Mentioned

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Explanation: There are two types of random variable-continuous and discrete.

6. Which of the following is also referred to as random variable ?

a) stochast

b) aleatory

c) eliette

d) all of the Mentioned

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Explanation: Random variable is also known as stochastic variable.

7. Bayesian inference uses frequency interpretations of probabilities to control error rates.

a) True

b) False

View Answer

Explanation: Frequency inference uses frequency interpretations of probabilities to control error rates.

8. Which of the following condition should be satisfied by function for pmf ?

a) The sum of all of the possible values is 1

b) The sum of all of the possible values is 0

c) The sum of all of the possible values is infinite

d) All of the Mentioned

View Answer

Explanation: A probability mass function evaluated at a value corresponds to the probability that a random variable takes that value.

9. Which of the following function is associated with a continuous random variable ?

a) pdf

b) pmv

c) pmf

d) all of the Mentioned

View Answer

Explanation: pdf stands for probability density function.

10. Statistical inference is the process of drawing formal conclusions from data.

a) True

b) False

View Answer

Explanation: Statistical inference requires navigating the set of assumptions and tools.

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