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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the Probability Mass Function (PMF).
💡 Hint: Think about how PMF relates to the probabilities of outcomes.
Question 2
Easy
What types of variables does PMF apply to?
💡 Hint: Remember what 'discrete' means in the context of random variables.
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 PMF represent?
- Probability of an event occurring
- Probability of a discrete random variable equaling a value
- Mean value of a distribution
💡 Hint: Recall how PMF quantifies specific outcomes.
Question 2
True or False: PMF can be used for continuous random variables.
- True
- False
💡 Hint: Think about the definition of PMF.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A digital communication system experiences a 5% packet loss during transmission. If 100 packets are sent, calculate the expected number of packets successfully received and use PMF to describe the distribution.
💡 Hint: Think about calculating expectations from probability distributions.
Question 2
Consider a reliability system that predicts vehicle failures. If the system states that there is a 20% chance that a vehicle will fail in the first year and a 10% probability of a second-year failure, how would you use PMF to express these probabilities for future planning?
💡 Hint: Focus on how to express discrete probabilities as a function of time.
Challenge and get performance evaluation