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random variables, cdf, and transformations
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probability  addition, multiplication, independence, Bayes' formula
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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
L^{a}T_{e}X

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