Practice Memoryless Nature - 19.X.2.3 | 19. Poisson Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does it mean for a process to be memoryless?

💡 Hint: Think of an event that happens randomly.

Question 2

Easy

Give an example of a memoryless process.

💡 Hint: Consider how past events affect your expectations for future events.

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 memoryless nature imply in probability?

  • True
  • False

💡 Hint: Consider events like waiting for something.

Question 2

In a Poisson process, does the occurrence of a previous event affect future probabilities?

  • Yes
  • No
  • Only in some cases

💡 Hint: Think about independence.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Imagine a server receives requests following a Poisson process with an average of 3 requests per minute. What is the probability that the server receives no requests in the next 5 minutes?

💡 Hint: Remember to adjust λ for the time period.

Question 2

In a certain data transmission system, packets arrive in a Poisson manner with an average rate of 10 packets per second. What’s the probability of receiving exactly 7 packets in a 1-second interval?

💡 Hint: Utilize the false assumption of dependence to visualize the independence.

Challenge and get performance evaluation