19 - Partial Differential Equations
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Practice Questions
Test your understanding with targeted questions
What is the probability of receiving exactly 2 emails in an hour if the average is 5?
💡 Hint: Use the formula provided in class.
Define λ in the context of Poisson distribution.
💡 Hint: Think about what average means in statistics.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Poisson distribution model?
💡 Hint: Recall the basic definition we discussed.
True or False: The mean and variance of a Poisson distribution are always equal.
💡 Hint: Think back to the properties we just focused on.
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Challenge Problems
Push your limits with advanced challenges
A hospital averages 10 patients arriving every hour. What is the probability that exactly 15 patients will arrive in the next hour?
💡 Hint: Break it down using the PMF formula.
In a factory, the average number of defects is 0.5 per item. If 100 items are produced, what is the likelihood of finding exactly 4 defects?
💡 Hint: Consider what the average means in this scenario.
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