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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the CDF measure?
💡 Hint: Think about what CDF stands for.
Question 2
Easy
If a die is rolled, what is the PMF for each number from 1 to 6?
💡 Hint: Since it's a fair die.
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 main purpose of the CDF?
- To find the average value
- To measure cumulative probabilities
- To determine variance
💡 Hint: Think about how it accumulates values.
Question 2
True or False: The CDF can sometimes decrease.
- True
- False
💡 Hint: Consider the property of accumulation.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose we have a biased die with the following PMF: {1: 0.1, 2: 0.2, 3: 0.4, 4: 0.1, 5: 0.1, 6: 0.1}. Calculate F(4). What does this tell you about the probabilities related to outcomes less than or equal to 4?
💡 Hint: Sum the probabilities for outcomes 1 through 4.
Question 2
In an engineering application, a component’s life expectancy follows the PMF {<1 year: 0.15, 1-2 years: 0.25, 2-3 years: 0.4, >3 years: 0.2}. Determine the CDF at the end of 2 years and discuss its significance.
💡 Hint: Consider all probabilities up to the 2 years range.
Challenge and get performance evaluation