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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
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?
π‘ Hint: Use the Poisson formula with Ξ» = 10.
Question 2
Easy
How would you express the probability of no events occurring when Ξ» = 3?
π‘ Hint: Remember the factorial of zero is 1.
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 is the mean of a Poisson distribution?
- a) e
- b) Ξ»
- c) Standard deviation
π‘ Hint: Recall the properties of Poisson distribution.
Question 2
True or False: The variance of the Poisson distribution is equal to its mean.
- True
- False
π‘ Hint: Think about the formula relating mean and variance.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A library gains, on average, 2 new books every week. What is the probability that it will gain exactly 5 new books next week?
π‘ Hint: Apply the Poisson formula providing your Ξ» and k.
Question 2
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.
π‘ Hint: Start with individual probabilities and use the Poisson formula for each case.
Challenge and get performance evaluation