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Notes
Mathematics
Probability & Statistics 2
Mathematics 9709
Probability & Statistics 2 — Revision Notes
Hover a chapter to open it, then pick a topic to start reading.
1
Hypothesis testing
3 topics
1.1
The hypothesis-test machine
1.2
One/two-tailed & the normal test
1.3
Type I and Type II errors
2
The Poisson distribution
4 topics
2.1
The Poisson formula & scaling λ
2.2
Poisson ≈ binomial
2.3
Normal ≈ Poisson
2.4
Hypothesis testing with the Poisson
3
Linear combinations of random variables
3 topics
3.1
The two rules of combining
3.2
Combining normal distributions
3.3
Combining Poisson distributions
4
Continuous random variables
4 topics
4.1
PDFs & probability as area
4.2
Median, quartiles & percentiles
4.3
Mean & variance of a CRV
4.4
Uniform & exponential models
5
Sampling
3 topics
5.1
Sampling, bias & random numbers
5.2
The distribution of the sample mean
5.3
Sample means of discrete distributions
6
Estimation
4 topics
6.1
Unbiased estimates of mean & variance
6.2
Hypothesis test for a mean
6.3
Confidence interval for a mean
6.4
Confidence interval for a proportion
Mathematics Probability & Statistics 2 — Revision Notes · Conquer Your A Levels