Practice Applications of PMF in Engineering - 12.7 | 12. Probability Mass Function (PMF) | Mathematics - iii (Differential Calculus) - Vol 3
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Knowledge

12.7 - Applications of PMF in Engineering

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Learning

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