Poisson Distribution

Probability Density Functions and Cumulative Distribution Functions

1. The cumulative distribution function, (c.d.f)
2. Finding the median quartiles and percentiles
3. Finding the mode from a p.d.f.
4. E(X) and Var(X)

The Normal Distribution

1. The normal distribution
2. The standard normal distribution Z~N(0,1) - Using tables or calculator
3. Probabilities from a normal distribution using tables
4. Calculating the mean μ and standard deviation σ
5. Exam Questions - Normal distribution, finding a probability

Poisson Approximation to the Binomial Distribution

1. Poisson approximation to the binomial distribution
2. Exam Questions - Poisson approximation to the binomial distribution

Normal Approximation to the Binomial and Poisson Distributions

1. The normal approximation to the binomial distribution
2. Exam Questions - Normal approximation to the binomial distribution
3. The normal approximation to the Poisson distribution
4. Exam Questions - Normal approximation to the Poisson distribution

Estimation and Sampling

1. Simple random sampling
2. What is a statistic?
3. Sampling distribution of the sample mean
4. Sampling distribution of the mode and median
5. Exam Questions - Estimation and sampling, Median
6. Sampling techniques
7. Exam Questions - Estimation and sampling, Range

Hypothesis Tests – Binomial Distribution

1. Test for a binomial proportion
2. Lower tail test
3. Upper tail test
4. Critical values - lower tail test
5. Critical values - upper tail test
6. Two tailed test
7. Exam Questions - Hypothesis tests: binomial distribution

Hypothesis Tests – Poisson Distribution

1. Exam Questions - Hypothesis tests: Poisson distribution