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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does a Probability Density Function (PDF) represent?
💡 Hint: Think about how continuous variables behave.
Question 2
Easy
Is the probability at a single point for a continuous random variable zero?
💡 Hint: Consider the infinite possibilities in a continuous range.
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 total area under the PDF curve equal?
- 0
- 1
- 2
💡 Hint: Consider the definition of probability.
Question 2
True or False: In a continuous distribution, the probability of a single point is greater than zero.
- True
- False
💡 Hint: Think about the concept of continuous values.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A continuous random variable has a PDF defined as f(x) = kx for 0 ≤ x ≤ 2, where k is a constant. Find k and then calculate P(0.5 ≤ X ≤ 1.5).
💡 Hint: Remember to first find k by normalization.
Question 2
Given a Normal distribution with mean of 100 and standard deviation of 15, what is the probability of selecting a value between 85 and 115?
💡 Hint: Calculate Z-scores from the provided values and refer to the Z-table.
Challenge and get performance evaluation