Practice Marginal PMF (Discrete) - 14.3.1 | 14. Joint Probability Distributions | Mathematics - iii (Differential Calculus) - Vol 3
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Marginal PMF (Discrete)

14.3.1 - Marginal PMF (Discrete)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for calculating the marginal PMF of variable X?

💡 Hint: Think about how you want to isolate the variable X.

Question 2 Easy

Provide an example of a discrete random variable.

💡 Hint: Consider discrete outcomes from an experiment.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the marginal PMF of variable X?

Calculated by summing probabilities of the joint distribution for Y
Independently calculated from the other variables
Equal to the joint PMF of X

💡 Hint: Remember the formula for marginal PMF!

Question 2

Marginal PMFs help in understanding the relationship between variables. True or False?

True
False

💡 Hint: Reflect on the importance of isolating each variable.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A joint PMF is defined as follows: \( P(X=0, Y=0) = 0.1, P(X=0, Y=1) = 0.2, P(X=1, Y=0) = 0.3, P(X=1, Y=1) = 0.4 \). If you add a new variable Z such that Z can take values 1 or 0, how does that affect the calculation of marginal PMFs for X?

💡 Hint: Focus on how new variables interact with existing distributions.

Challenge 2 Hard

If two discrete random variables X and Y have identical marginal distributions but are dependent, provide a scenario in which this can occur.

💡 Hint: Think about variables where one's outcome affects the other.

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