Probability and Statistics IV - STA 2302 PROBABILITY AND STATISTICS IV(45 Contact Hours a Course Purpose At the end of this course the student should be

# Probability and Statistics IV - STA 2302 PROBABILITY AND...

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STA 2302 PROBABILITY AND STATISTICS IV (45 Contact Hours) a)Course Purpose b)Course Objectivesi.State the central limit theorem, and apply it.ii.Define the conditional expectation of one random variable given the value of another random variable, and calculate such a quantity.iii.Show how the mean and variance of a random variable can be obtained from expected values of conditional expected values, and apply this.iv.Derive the moment generating function of the sum of a random number of independent, identically distributed random variables (a compound distribution), and use the result to calculate the mean and variance of such a distribution. c) Course Description Random and mean vectors. Covariance matrix and its properties. Linear combination of random variables. Multivariate normal distribution: definition of non-singular multivariate