Practice Mean (Expected Value) - 7.6 | 7. Probability Distribution Function (PDF) | 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 the Mean as it relates to a random variable.

πŸ’‘ Hint: Think about how we find averages in everyday life.

Question 2

Easy

What is the integral used to calculate the Mean?

πŸ’‘ Hint: Consider the formula that involves the PDF.

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 the Expected Value of a random variable represent?

  • The highest possible value
  • The average outcome
  • Total sum of values

πŸ’‘ Hint: Consider how averages reflect typical outcomes.

Question 2

True or False: The Mean can also be referred to as the Expected Value.

  • True
  • False

πŸ’‘ Hint: Think about the definitions we've covered for the Mean.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the Mean of a normal distribution with a PDF of f(x) = (1/(Οƒβˆš(2Ο€))) * e^(-(x-ΞΌ)Β²/(2σ²)). How does the Mean relate to the center of this curve?

πŸ’‘ Hint: Consider how the properties of the normal distribution affect its Mean.

Question 2

Evaluate the impact on the Mean if the distribution is skewed to the right with a PDF skewed positively. What would happen?

πŸ’‘ Hint: Reflect on how skewed distributions behave compared to symmetric ones.

Challenge and get performance evaluation