This set of Data Science Multiple Choice Questions & Answers (MCQs) focuses on “Common Distributions”.

1. Which of the following goal is incorrectly represented in the below figure ?

a) Relationship between variables

b) Distribution of variables

c) Inference about relationships

d) Causal

View Answer

Explanation: Causal is not directly related to goal of statistical modelling.

2. Point out the correct statement:

a) The exponent of a normally distributed random variables follows what is called the log-normal distribution

b) Sums of normally distributed random variables are again normally distributed even if the variables are dependent

c) The square of a standard normal random variable follows what is called chi-squared distribution

d) All of the Mentioned

View Answer

Explanation: Many random variables, properly normalized, limit to a normal distribution.

3. Which of the following is incorrect with respect to use of Poisson distribution ?

a) Modeling event/time data

b) Modeling bounded count data

c) Modeling contingency tables

d) All of the Mentioned

View Answer

Explanation: Poisson distribution is used for modeling unbounded count data.

4. __________ random variables are used to model rates.

a) Empirical

b) Binomial

c) Poisson

d) All of the Mentioned

View Answer

Explanation: Poisson distribution is used to model counts.

5. Point out the wrong statement:

a) The normal distribution is asymmetric and peaked about its mode

b) A constant times a normally distributed random variable is also normally distributed

c) Sample means of normally distributed random variables are again normally distributed

d) None of the Mentioned

View Answer

Explanation: The normal distribution is symmetric and peaked about its mean.

6. Which of the following form the basis for frequency interpretation of probabilities ?

a) Asymptotics

b) Symptotics

c) Asymmetry

d) All of the Mentioned

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Explanation: Asymptotics is the term for the behavior of statistics as the sample size.

7. Bernoulli random variables take (only) the values 1 and 0.

a) True

b) False

View Answer

Explanation: The Bernoulli distribution arises as the result of a binary outcome.

8. The _________ basically states that the sample mean is consistent.

a) LAN

b) LLN

c) LWN

d) None of the Mentioned

View Answer

Explanation: LLN stands for law of large numbers.

9. Which of the following theorem states that the distribution of averages of iid variables, properly normalized, becomes that of a standard normal as the sample size increases ?

a) Central Limit Theorem

b) Central Mean Theorem

c) Centroid Limit Theorem

d) All of the Mentioned

View Answer

Explanation: The Central Limit Theorem (CLT) is one of the most important theorems in statistics.

10. The binomial random variables are obtained as the sum of iid Gaussian trials.

a) True

b) False

View Answer

Explanation: The binomial random variables are obtained as the sum of iid Bernoulli trials.

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