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Competitive
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Revision Notes
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Revision Notes
Practice Questions
Topical Past Paper Questions
Past Papers
Probability & Statistics 2
/
Continuous random variables
Contents
Mean and variance of a continuous random variable
Practise Continuous random variables
Contents
All chapters
Mathematics · 9709
Probability & Statistics 2
Chapter 04 · Continuous random variables
Moments of a Continuous Variable
Mean and variance of a continuous random variable
01
Hypothesis testing
Hypothesis Test Foundations
2
Hypotheses and significance
One-tailed and two-tailed tests
Hypothesis Test Methods
2
Exact binomial hypothesis tests
Normal approximations in hypothesis tests
Errors in Hypothesis Tests
1
Type I and Type II errors
02
The Poisson distribution
Poisson Model and Probabilities
1
The Poisson formula and scaling λ
Poisson Approximations
2
Poisson approximation to binomial
Normal approximation to Poisson
Poisson Hypothesis Tests
1
Hypothesis testing with the Poisson
03
Linear combinations of random variables
Mean and Variance Rules
1
The two rules of combining
Distribution Results
2
Combining normal distributions
Combining Poisson distributions
04
Continuous random variables
Density and Probability
2
PDFs and probability as area
Median, quartiles and percentiles
Moments of a Continuous Variable
1
Mean and variance of a continuous random variable
05
Sampling
Sampling Process
1
Sampling, bias and random numbers
Sampling Distributions
2
The distribution of the sample mean
Sample means of discrete distributions
06
Estimation
Point Estimation
1
Unbiased estimates of mean and variance
Population Mean Testing
1
Hypothesis tests for a population mean
Confidence Intervals
2
Confidence interval for a mean
Confidence interval for a proportion
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