10. Topic 10(COLON) Multivariable and Statistical Mathematics

Lesson 10.3: Probability And Discrete Distributions — Quiz

Test your understanding of lesson 10.3: probability and discrete distributions with 5 practice questions.

Practice Questions

Question 1

What is the expected value of a binomial random variable with parameters $n = 10$ and $p = 0.5$?

Question 2

If the probability of event A occurring is $P(A) = 0.3$ and the probability of event B occurring is $P(B) = 0.4$, what is the probability of both A and B occurring if they are independent events?

Question 3

In a Poisson distribution with a mean of $6$, what is the probability of observing exactly $3$ events?

Question 4

For a discrete uniform distribution of a random variable that can take values from $1$ to $4$, what is the variance?

Question 5

In probability theory, what is the law of total probability used for?