Practice Random Variables - 14.1.1 | 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 that can be counted, like the number of flaws in a batch of products.

Question 2

Easy

What is a continuous random variable?

πŸ’‘ Hint: Consider measurements like weight or time.

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 is the defining characteristic of a discrete random variable?

  • Can take any value
  • Is countable
  • Represents a probability density function

πŸ’‘ Hint: Remember examples with a limited number of outcomes.

Question 2

True or False: Continuous random variables only take exact values.

  • True
  • False

πŸ’‘ Hint: Think of real numbers in a range.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a game where you roll two dice. Define the joint distribution for the sums of the two dice.

πŸ’‘ Hint: Examine the possible pairs that lead to each sum.

Question 2

A manufacturer inspects a batch of products and records the number of defects and weight. How can you represent this using joint probability?

πŸ’‘ Hint: Consider how defects can relate to different weight categories.

Challenge and get performance evaluation