12.7 - Applications of PMF in Engineering
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Practice Questions
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Define the Probability Mass Function (PMF).
💡 Hint: Think about how PMF relates to the probabilities of outcomes.
What types of variables does PMF apply to?
💡 Hint: Remember what 'discrete' means in the context of random variables.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does PMF represent?
💡 Hint: Recall how PMF quantifies specific outcomes.
True or False: PMF can be used for continuous random variables.
💡 Hint: Think about the definition of PMF.
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Challenge Problems
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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.
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.
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