Prior content: None
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Next Section: Quality of Tests*
This whole chapter is A level only (not needed for AS Further Maths).
Contents
- Whole Topic Notes
- 7A Probability Generating Functions*
- 7B Probability Generating Functions of Standard Distributions*
- 7C Mean and Variance of a Distribution*
- 7D Sums of Independent Random Variables*
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Further Statistics 1 Probability Generating Functions Section
- Dr Frost Further Statistics 1 Probability Generating Functions Slides
FMSP Whole Chapter Videos
- FMSP Further Statistics 1 (Year 2) playlist (Courtesy of MEI)
7A Probability Generating Functions*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
7B Probability Generating Functions of Standard Distributions*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 855d: Determine the probability generating function of a binomial distribution.
- 855e: Determine the probability generating function of a Poisson distribution.
- 855f: Determine the probability generating function of a geometric distribution.
- 855g: Determine the probability generating function of a negative binomial distribution.
- 855: Exam Practice: Probability generating functions
7C Mean and Variance of a Distribution*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
7D Sums of Independent Random Variables*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 855h: Use basic probability to find the distribution of the sum of two random variables X + Y
- 855i: Use probability generating functions to find the distribution of the sum of two random variables X + Y
- 855m: Determine the probability generating function given a transformation of a random variable aX + b
- 855: Exam Practice: Probability generating functions