Practice Discrete Random Variables - 6.2 | 6. Random Variables (Discrete and Continuous) | Mathematics - iii (Differential Calculus) - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Discrete Random Variables

6.2 - Discrete Random Variables

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a discrete random variable? Provide an example.

💡 Hint: Think about outcomes of simple experiments.

Question 2 Easy

What does PMF stand for?

💡 Hint: It's related to how we calculate probabilities for discrete variables.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a discrete random variable represent?

Countable outcomes
Uncountable outcomes
Both countable and uncountable

💡 Hint: Consider how many different outcomes can be listed.

Question 2

True or False: The PMF can take on negative probabilities.

True
False

💡 Hint: Recall the basic properties of probability.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A game involves rolling a fair cube three times. What is the probability of getting exactly two sixes?

💡 Hint: Identify n, k, and p to use the binomial formula correctly.

Challenge 2 Hard

Given a random variable X with the following PMF: P(X=0) = 0.3, P(X=1) = 0.4, P(X=2) = 0.3. Calculate the variance.

💡 Hint: You will need to find E[X²] first; sum the square of x times their respective probabilities.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.