probability - addition, multiplication, independence, Bayes' formula
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random variables, cdf, and transformations
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expected value, moments, variance, standard deviation
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Bernoulli trials, Binomial distribution - cdf and use of tables
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derivation of the poisson distribution and its properties
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pgf, moments, binomial and poisson distributions
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continuous distributions - exponential distribution, moment generating function
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normal (Gaussian) distribution, moments, standardisation
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hypothesis testing, normal distribution - one and two tailed tests, estimating variance
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confidence intervals, limits and coefficient for the variance known and unknown
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goodness of fit test, estimating parameters, small expected frequencies
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dot plot, bar chart, histogram, stem and leaf plot, boxplot
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worksheet for using the statistical package Splus
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