Cambridge AS Level (9709) Probability & Statistics 2
- Description
- Curriculum
Our Approach to Teaching and Learning:
We follow the 5 step process depicted in the picture below.
A Level Probability and Statistics paper 6 content is covered under five topics.
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1
The Poisson distribution- Calculate probabilities for the distribution
- Modelling with poisson distribution
- Approximation of binomial distribution to poisson under certain conditions
- Approximation with continuity corrections
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2
Linear combinations of random variables
- Linearity of expectation and variance
- Sum and difference of independent random variables in normal and poisson distributions
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3
Continuous random variables
- Concept of a continuous random variable and properties of a probability density function
- Solve problems involving probabilities probability density function
- Mean and variance of a distribution
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4
Sampling and estimation
- Distinction between a sample and a population and necessity for randomness in choosing samples.
- Sample mean as random variable
- Use of Central limit theorem
- Estimates of the population mean and variance from a sample
- Confidence interval for a population mean and population proportion
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5
Hypothesis tests
- Nature of a hypothesis test and terminologies
- One-tailed and Two-tailed tests
- Formulate hypotheses and carry out a hypothesis test
- Type I error and Type II error in relation to hypothesis tests
- Probability of error in test involving normal distribution or direct evaluation of binomial or Poisson probabilities.
