19.X.6 - Solved Examples
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Practice Questions
Test your understanding with targeted questions
If the average number of cars passing an intersection is 10 per hour, what is the probability of exactly 5 cars arriving in the next hour?
💡 Hint: Use the Poisson formula with λ = 10.
How would you express the probability of no events occurring when λ = 3?
💡 Hint: Remember the factorial of zero is 1.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the mean of a Poisson distribution?
💡 Hint: Recall the properties of Poisson distribution.
True or False: The variance of the Poisson distribution is equal to its mean.
💡 Hint: Think about the formula relating mean and variance.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A library gains, on average, 2 new books every week. What is the probability that it will gain exactly 5 new books next week?
💡 Hint: Apply the Poisson formula providing your λ and k.
During a busy season, a restaurant receives about 10 customers every hour. Calculate the probability that between 8 to 12 customers arrive during the next hour.
💡 Hint: Start with individual probabilities and use the Poisson formula for each case.
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