Question 1

What is the primary purpose of Monte Carlo simulation in probability and statistics?

Options :

A : To estimate the probability of different outcomes by running simulations

B : To calculate confidence intervals

C : To perform hypothesis tests

D : To generate random samples from a probability distribution

Answer: A

Question 2

What technique is commonly used for imputing missing values in a dataset by replacing them with randomly selected values from the variable?

Options :

A : Regression imputation

B : Random imputation

C : Mean imputation

D : Mode imputation

Answer: B

Question 3

What method is commonly used for imputing missing values in a dataset by replacing them with the most frequent category?

Options :

A : K-nearest neighbors

B : Mean imputation

C : Mode imputation

D : Regression imputation

Answer: C

Question 4

Which exploratory data analysis (EDA) method is used to visualize the relationship between two continuous variables?

Options :

A : Scatter plot

B : Box and whisker plot

C : Histogram

D : Bar plot

Answer: A

Question 5

Which statistical concept measures the strength and direction of the linear relationship between two continuous variables?

Options :

A : Pearson correlation

B : Entropy

C : Gini index

D : Spearman correlation

Answer: A

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