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Mathematics
Revision Notes
Probability & Statistics 2
Mathematics · Cambridge 9709
Probability & Statistics 2
6 chapters · 22 lessons
Collection
Pure Mathematics 1
Pure Mathematics 2
Pure Mathematics 3
Mechanics
Probability & Statistics 1
Probability & Statistics 2
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01
Hypothesis testing
5 lessons · 3 topic areas
01
Hypothesis Test Foundations
2 lessons
Hypotheses and significance
One-tailed and two-tailed tests
02
Hypothesis Test Methods
2 lessons
Exact binomial hypothesis tests
Normal approximations in hypothesis tests
03
Errors in Hypothesis Tests
1 lesson
Type I and Type II errors
02
The Poisson distribution
4 lessons · 3 topic areas
01
Poisson Model and Probabilities
1 lesson
The Poisson formula and scaling λ
02
Poisson Approximations
2 lessons
Poisson approximation to binomial
Normal approximation to Poisson
03
Poisson Hypothesis Tests
1 lesson
Hypothesis testing with the Poisson
Practise this chapter
03
Linear combinations of random variables
3 lessons · 2 topic areas
01
Mean and Variance Rules
1 lesson
The two rules of combining
02
Distribution Results
2 lessons
Combining normal distributions
Combining Poisson distributions
Practise this chapter
04
Continuous random variables
3 lessons · 2 topic areas
01
Density and Probability
2 lessons
PDFs and probability as area
Median, quartiles and percentiles
02
Moments of a Continuous Variable
1 lesson
Mean and variance of a continuous random variable
Practise this chapter
05
Sampling
3 lessons · 2 topic areas
01
Sampling Process
1 lesson
Sampling, bias and random numbers
02
Sampling Distributions
2 lessons
The distribution of the sample mean
Sample means of discrete distributions
06
Estimation
4 lessons · 3 topic areas
01
Point Estimation
1 lesson
Unbiased estimates of mean and variance
02
Population Mean Testing
1 lesson
Hypothesis tests for a population mean
03
Confidence Intervals
2 lessons
Confidence interval for a mean
Confidence interval for a proportion
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Mathematics
AS & A Level · 9709
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