{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Notes&Excercises","Uniform"],"not_rendered":{"charts":3,"images":0,"macros":1,"external_links":0,"defined_names":19,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

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[null,null,"STA1"]
[null,null,"Aim:","The aim of this module is primarily to demonstrate how we would sample a random number on (0,1)"]
[null,null,null,"We may then use a \"splitting point\" to show how we can simulate a random drawing with a particular probability"]
[null,null,null,"We may then for example be able to simulate the occurrence of an event with a certain probability"]
[null,null,null,"This is required for understanding of how the Binomial simulation can work"]
[]
[null,null,null,"One can obviously use it to demonstrate the Uniform as well but it is difficult to find 1st year appropriate examples apart from the RN example"]
[]
[]
[]
[null,null,"Exercises"]
[null,null,1,"Try the simulations for different number of replications (see how this affects the mean, the variance and the graph of theoretical and empirical frequencies)"]
[null,null,2,"Try changing the # intervals - what do you think is the ideal number of intervals?"]
[null,null,3,"Try running a 1000 replications with a split point of 0.8 . Now add up the split test count - what does this tell you?"]

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["©GDIB - UCT - 2009","Sample Size < 10 000",1000,null,"True mean",{"$f":"(C3+C4)/2","v":0.5},null,"Emp. Mean",0.50272833895683289,null,null,null,null,null,null,null,null,null,null,null,null,2.3741722106933594E-3,null,null,6.25E-2,0.125,9.375E-2,64]
["for xl2007","Beginning of Number Range",0,null,"True Variance",{"$f":"((C4-C3)^2)/12","v":8.3333333333333329E-2},null,"Emp. Var.",8.3038786721725794E-2,null,null,null,null,null,null,null,null,null,null,null,null,3.313601016998291E-3,null,null,0.125,0.1875,0.15625,60]
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