Practice Partial Differential Equations - 14 | 14. Joint Probability Distributions | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a discrete random variable.

πŸ’‘ Hint: Think of examples like the number of students in a classroom.

Question 2

Easy

What is a joint probability distribution?

πŸ’‘ Hint: Consider the outcomes of rolling two dice.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a joint probability distribution measure?

  • Relationship between two variables
  • Variance of a variable
  • Sum of probabilities

πŸ’‘ Hint: Think about how different outcomes are connected.

Question 2

True or False: A joint PDF can be negative.

  • True
  • False

πŸ’‘ Hint: Consider the properties of probability distributions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a joint PDF f(x,y) = 3x^2y for 0 < x < 1, 0 < y < 1, calculate the marginal PDF of X.

πŸ’‘ Hint: Remember the integration limits and the formula!

Question 2

Two random variables are defined as independent if P(A and B) = ...? Fill in the blank.

πŸ’‘ Hint: Think about independence concepts!

Challenge and get performance evaluation