Data Science

Introduction to Statistical Inference

Question 1
Marks : +2 | -2
Pass Ratio : 50%
Which of the following random variable that take on only a countable number of possibilities?
Discrete
Non Discrete
Continuous
All of the mentioned
Explanation:
Continuous random variable can take any value on some subset of the real line.
Question 2
Marks : +2 | -2
Pass Ratio : 50%
Bayesian inference uses frequency interpretations of probabilities to control error rates.
True
False
Explanation:
Frequency inference uses frequency interpretations of probabilities to control error rates.
Question 3
Marks : +2 | -2
Pass Ratio : 50%
Point out the wrong statement.
A random variable is a numerical outcome of an experiment
There are three types of random variable
Continuous random variable can take any value on the real line
None of the mentioned
Explanation:
There are two types of random variable-continuous and discrete.
Question 4
Marks : +2 | -2
Pass Ratio : 50%
Which of the following is the probability calculus of beliefs, given that beliefs follow certain rules?
Bayesian probability
Frequency probability
Frequency inference
Bayesian inference
Explanation:
Data scientists tend to fall within shades of gray of these and various other schools of inference.
Question 5
Marks : +2 | -2
Pass Ratio : 50%
Which of the following can be considered as random variable?
The outcome from the roll of a die
The outcome of flip of a coin
The outcome of exam
All of the mentioned
Explanation:
The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values.
Question 6
Marks : +2 | -2
Pass Ratio : 50%
Statistical inference is the process of drawing formal conclusions from data.
True
False
Explanation:
Statistical inference requires navigating the set of assumptions and tools.
Question 7
Marks : +2 | -2
Pass Ratio : 50%
Which of the following condition should be satisfied by function for pmf?
The sum of all of the possible values is 1
The sum of all of the possible values is 0
The sum of all of the possible values is infinite
All of the mentioned
Explanation:
A probability mass function evaluated at a value corresponds to the probability that a random variable takes that value.
Question 8
Marks : +2 | -2
Pass Ratio : 50%
Which of the following function is associated with a continuous random variable?
pdf
pmv
pmf
all of the mentioned
Explanation:
pdf stands for probability density function.
Question 9
Marks : +2 | -2
Pass Ratio : 50%
Which of the following is also referred to as random variable?
stochast
aleatory
eliette
all of the mentioned
Explanation:
Random variable is also known as stochastic variable.
Question 10
Marks : +2 | -2
Pass Ratio : 50%
Point out the correct statement.
Bayesian inference is the use of Bayesian probability representation of beliefs to perform inference
NULL is the standard missing data marker used in S
Frequency inference is the use of Bayesian probability representation of beliefs to perform inference
None of the mentioned
Explanation:
Frequency probability is the long run proportion of times an event occurs in independent, identically distributed repetitions.