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
View Answer
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 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
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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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