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Probability & Statistics 2 Practice
80 Tests • 1,200 Questions
Paper 6 • 50 marks • 1 hour 15 minutes
6.1 The Poisson distribution
6.1.1 Poisson probabilities, mean and variance
2 Tests • 30 Questions6.1.2 Poisson modelling of random events
2 Tests • 30 Questions6.1.3 Poisson approximation to the binomial distribution
2 Tests • 30 Questions6.1.4 Normal approximation to the Poisson distribution
2 Tests • 30 Questions
6.2 Linear combinations of random variables
6.2.1 Expectation and variance under linear transformations
2 Tests • 30 Questions6.2.2 Linear combinations of independent random variables
2 Tests • 30 Questions6.2.3 Linear combinations of normal random variables
2 Tests • 30 Questions6.2.4 Sums of independent Poisson random variables
1 Test • 15 Questions
6.3 Continuous random variables
6.3.1 Probability density functions
2 Tests • 30 Questions6.3.2 Probabilities from density functions
2 Tests • 30 Questions6.3.3 Mean and variance of continuous random variables
2 Tests • 30 Questions6.3.4 Median and percentiles from density functions
1 Test • 15 Questions
6.4 Sampling and estimation
6.4.1 Samples, populations and random sampling
2 Tests • 30 Questions6.4.2 Sampling distributions of the sample mean
2 Tests • 30 Questions6.4.3 Central Limit Theorem
2 Tests • 30 Questions6.4.4 Unbiased estimates of population mean and variance
2 Tests • 30 Questions6.4.5 Confidence intervals for means and proportions
2 Tests • 30 Questions
6.5 Hypothesis tests
6.5.1 Hypotheses, significance levels and critical regions
2 Tests • 30 Questions6.5.2 Binomial and Poisson hypothesis tests
2 Tests • 30 Questions6.5.3 Normal-approximation hypothesis tests
1 Test • 15 Questions6.5.4 Hypothesis tests for a population mean
2 Tests • 30 Questions6.5.5 Type I and Type II errors
1 Test • 15 Questions
Topic Mixed Practice
6.1 The Poisson distribution
4 Tests • 60 Questions6.2 Linear combinations of random variables
4 Tests • 60 Questions6.3 Continuous random variables
4 Tests • 60 Questions6.4 Sampling and estimation
4 Tests • 60 Questions6.5 Hypothesis tests
4 Tests • 60 Questions
Full-Syllabus Mixed Practice
Probability & Statistics 2 Full-Syllabus Mixed Practice
20 Tests • 300 Questions
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