Practice Joint Probability Mass Function (PMF) - 17.2.1 | 17. Independence of Random Variables | Mathematics - iii (Differential Calculus) - Vol 3
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Joint Probability Mass Function (PMF)

17.2.1 - Joint Probability Mass Function (PMF)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Joint Probability Mass Function.

💡 Hint: Think of it as a function relating two outcomes.

Question 2 Easy

Give an example of a discrete random variable.

💡 Hint: Focus on countable outcomes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Joint PMF indicate?

Probability of single events
Joint likelihood of two events
Marginal distribution

💡 Hint: Think about the combined outcomes.

Question 2

True or False: If two random variables are independent, their joint PMF can be expressed as the product of their individual PMFs.

True
False

💡 Hint: Recall the independence formula we discussed.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given a joint PMF where P(X=1, Y=1)=0.5, P(X=1, Y=2)=0.3, and P(X=2, Y=2)=0.2. Check if X and Y are independent.

💡 Hint: Sum the probabilities to find marginal values first.

Challenge 2 Hard

You have P(X=1, Y=1)=0.25, P(X=1, Y=2)=0.25, P(X=2, Y=1)=0.25, P(X=2, Y=2)=0.25. Are X and Y independent?

💡 Hint: This illustrates proper checking for equality in independence.

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