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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the CDF represent mathematically?
💡 Hint: Think about probability and how values are compared.
Question 2
Easy
What is the range of values that F(x) can take?
💡 Hint: Remember it's related to probabilities.
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 CDF of a random variable X represent?
- The probability that X equals a specific value.
- The probability that X is less than or equal to a value x.
- The average value of X.
💡 Hint: Remember the definition of CDF.
Question 2
True or False: The CDF of a discrete random variable is a continuous function.
- True
- False
💡 Hint: Think about how discrete variables behave.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given that a random variable X has the following probability density function: f(x) = 4x for 0 ≤ x ≤ 0.5, compute the CDF and evaluate F(0.25).
💡 Hint: Integrate the PDF from the lower limit to 0.25.
Question 2
A manufacturer has two machines, A and B. The CDF for machine A's failure times is given. If the CDF for machine B's failure is a constant value of 0.3, discuss how this affects overall machine reliability.
💡 Hint: Consider how the cumulative failure rate influences operational decisions.
Challenge and get performance evaluation