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2 cards from this section. Quick, good the night before a test.
What does it mean for a process to be memoryless?
Think of an event that happens randomly.
Give an example of a memoryless process.
Consider how past events affect your expectations for future events.
What does memoryless nature imply in probability?
Consider events like waiting for something.
In a Poisson process, does the occurrence of a previous event affect future probabilities?
Think about independence.
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?
Remember to adjust λ for the time period.
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?
Utilize the false assumption of dependence to visualize the independence.
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