Topic 3: Quantitative Methods

Lesson 3.3: Probability Concepts And Distributions — Quiz

Test your understanding of lesson 3.3: probability concepts and distributions with 5 practice questions.

Practice Questions

Question 1

What is the expected value of a random variable $X$ if $P(X=1)=0.2$, $P(X=2)=0.5$, and $P(X=3)=0.3$?

Question 2

If the variance of a random variable $X$ is $4$, what is the standard deviation of $X$?

Question 3

If $A$ and $B$ are independent events with $P(A) = 0.6$ and $P(B) = 0.4$, what is $P(A \cap B)$?

Question 4

What is the coefficient of correlation between two variables if their covariance is $6$ and their standard deviations are $2$ and $3$ respectively?

Question 5

What is the probability of getting at least one head in two flips of a fair coin?