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Previous Section: Discrete Random Variables
Next Section: Geometric and Negative Binomial Distributions*
Contents
- Whole Topic Notes
- 2A/B The Poisson Distribution
- 2C Modelling with the Poisson Distribution
- 2D Adding Poisson Distributions
- 2E Mean and Variance of a Poisson Distribution
- 2F Mean and Variance of the Binomial Distribution
- 2G Using the Poisson Distribution to Approximate the Binomial Distribution
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Further Statistics 1 Poisson Distributions Section
- Dr Frost Further Statistics 1 Poisson Distributions Slides
FMSP Whole Chapter Videos
- FMSP Further Statistics 1 (AS) playlist (Courtesy of MEI)
2A/B The Poisson Distribution
Textbook resources
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 840a: Understand the conditions for which a Poisson distribution would be a good model for a given context.
- 840b: Determine the probability of a given number of events occurring in a period, with no context.
- 840c: Determine the probability of a range of events occurring in a period, with no context.
- 840d: Determine the probability of a given number of events occurring in a period, in context.
- 840f: Determine the probability of a range for a Poisson distribution, in context.
- 840h: Determine the probability of a two-ended range for a Poisson distribution, in context.
- 840: Exam Practice: Poisson distribution
2C Modelling with the Poisson Distribution
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 840e: Determine the probability of a given number of events occurring in a period, where the rate requires scaling.
- 840g: Determine the probability of a range for a Poisson distribution where the rate requires scaling.
- 840i: Determine the probability of a given number of events occurring in a period for multiple successive periods with the same condition.
- 840j: Determine the probability of a given number of events occurring in a period for multiple successive periods with different conditions.
- 840k: Determine the probability of a fixed number of events occurring, for physical quantities other than time.
- 840l: Determine the probability of a range of events occurring, for physical quantities other than time.
- 840m: Use a probability from a Poisson distribution within a binomial model.
- 840n: Determine the n such that P(X>n) < k for a Poisson distribution.
- 840o: Determine a rate that would lead to a given probability of a given number of events occurring.
- 840p: Determine a rate that would lead to a given probability of at least one event occurring.
- 840r: Determine a conditional probability involving the Poisson distribution.
- 840: Exam Practice: Poisson distribution
2D Adding Poisson Distributions
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Key Skills
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2E Mean and Variance of a Poisson Distribution
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2F Mean and Variance of the Binomial Distribution
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Key Skills
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2G Using the Poisson Distribution to Approximate the Binomial Distribution
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost