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LEARNING OUTCOMES: This assignment examines the following learning outcomes for
ECE2191 from the handbook. 2) Characterise the distributions of functions of random
variables. 3) Examine the properties of multiple random variables using joint probability
mass functions, joint probability density functions, correlation, covariance and the
correlation coefficient. 4) Estimate the sample mean, standard deviation and cumulative
distribution function of a random variable from a series of independent observations. 5)
Describe the law of large numbers and the central limit theorem, and illustrate how these
two theorems can be employed to model random phenomena.
Attempt to answer all of the questions. Justify all of your answers, where
appropriate. Include reasoning, formulae used, calculations, figures, tables, etc. (Note:
marks may be deducted if justifications are omitted.) Compile all of your answers into a
single PDF or Word document. Ensure that each of your answers in the document is labelled
clearly with the question number and question part letter. Include any relevant MATLAB
code or Excel files as separate file attachments, and label these attachments clearly also.