Practice Applications Of Pmf In Engineering (12.7) - Probability Mass Function (PMF)

Practice: Applications of PMF in Engineering

Lesson 12.7Probability Mass Function (PMF)

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9 questions

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6 sample questions

Question 1.
Define the Probability Mass Function (PMF).
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Think about how PMF relates to the probabilities of outcomes.
Question 2.
What types of variables does PMF apply to?
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Remember what 'discrete' means in the context of random variables.
3Question 3.
What does PMF represent?
- Probability of an event occurring
- Probability of a discrete random variable equaling a value
- Mean value of a distribution
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Recall how PMF quantifies specific outcomes.
4Question 4.
True or False: PMF can be used for continuous random variables.
- True
- False
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Think about the definition of PMF.
Question 5.
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.
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Think about calculating expectations from probability distributions.
Question 6.
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?
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Focus on how to express discrete probabilities as a function of time.

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