Practice Random Variables: Definition - 6.1 | 6. Random Variables (Discrete and Continuous) | Mathematics - iii (Differential Calculus) - Vol 3
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6.1 - Random Variables: Definition

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a random variable?

πŸ’‘ Hint: Think about how outcomes in experiments can be quantified.

Question 2

Easy

Give an example of a discrete random variable.

πŸ’‘ Hint: Consider things that can be counted.

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 are random variables used for?

  • To predict outcomes
  • To count items
  • To measure time

πŸ’‘ Hint: Think about where uncertainty is present.

Question 2

Is a temperature reading a discrete random variable?

  • True
  • False

πŸ’‘ Hint: Consider how temperature can change gradually.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a game, a player wins $0, $1, or $2 with probabilities 0.5, 0.3, and 0.2 respectively. Calculate the expected value of their winnings.

πŸ’‘ Hint: Use the expectation formula with given probabilities.

Question 2

A continuous random variable has a PDF given by f(x) = 3xΒ² for 0 ≀ x ≀ 1. Find the expectation of this variable.

πŸ’‘ Hint: Integrate the product of x and the PDF within the defined limits.

Challenge and get performance evaluation