S2

Binomial and Poisson Distributions

• Mean, variance and properties of the Binomial Distribution
• Mean, variance and properties of the Poisson Distribution
• Use of Poisson to approximate Binomial

Continuous Distributions

• Properties of the Continuous Uniform (Rectangular) Distribution
• Derivation of the mean, variance and CDF of the CUD
• Use of the Normal Distribution to approximate the Binomial and Poisson (with continuity correction)

Continuous Random Variables

• Idea of a continuous random variable
• Relationship between Probability Density Function and Cumulative Distribution Function
• Mean and variance
• Mode, median and quartiles

Hypothesis Tests

• Population, census and sample
• Concept of a statistic and its sampling distribution
• Concept and interpretation of a hypothesis test
• Critical regions and one- or two-tailed tests
• Hypothesis tests for the parameter of a binomial distribution and the mean of a Poisson distribution