Texas Instruments TI-89 User Manual - Page 775
Simulation of Sampling without Replacement, Sampling-without- Replacement Function
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Simulation of Sampling without Replacement This activity simulates drawing different colored balls from an urn without replacing them. Detailed information about the steps used in this example can be found in the electronic chapter Programming. Sampling-without- Replacement Function In the Program Editor, define drawball( ) as a function that can be called with two parameters. The first parameter is a list where each element is the number of balls of a certain color. The second parameter is the number of balls to select. This function returns a list where each element is the number of balls of each color that were selected. :drawball(urnlist,drawnum) :Func :Local templist,drawlist,colordim, numballs,i,pick,urncum,j :If drawnum>sum(urnlist) :Return "too few balls" :dim(urnlist)!colordim :urnlist!templist :newlist(colordim)!drawlist :For i,1,drawnum,1 :sum(templist)!numballs :rand(numballs)!pick (continued in next column) :For j,1,colordim,1 :cumSum(templist)!urncum :If pick urncum[j] Then :drawlist[j]+1!drawlist[j] :templist[j]N1!templist[j] :Exit :EndIf :EndFor :EndFor :Return drawlist :EndFunc Activities 775