{"text_format":"3","workbook":"xlsx","n_sheets":4,"sheets":["Sheet1","Sheet2","Sheet3","Sheet4"],"not_rendered":{"charts":1,"images":4,"macros":1,"defined_names":8,"comments":1},"read":"whole","date_system":"1900"}

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[null,null," Simulating the "]
[null,"    Buffon Needle Problem"]
[]
[null,"   This DIGMath module simulates "]
[null,"       the Buffon Needle Problem"]
[null,"        with n needles of length L."]
[]
[]
["How many random needles (50-200)?",{"$nulls":3},61]
[]
[]
["How long L is each needle (1-12)?",{"$nulls":3},11]
[]
[]
["How wide W is the strip (10-90)?",{"$nulls":3},53]
[]
[{"$nulls":9},{"$f":"\"Out of \"&TEXT(n,\"0\")&\" random needles of length \" &TEXT(L,\"0\")&\",\"","v":"Out of 61 random needles of length 11,"}]
[{"$nulls":9},{"$f":"\"     \"  & TEXT(dist,\"0\") & \" crossed the strip line \"","v":"     10 crossed the strip line "}]
[{"$nulls":4},0]
[{"$nulls":9},{"$f":"\"According to probability theory, \"","v":"According to probability theory, "}]
[{"$nulls":4},0,{"$nulls":4},{"$f":"\"    the expected number of 'hits' = \"&TEXT(Sheet2!M13,\"0.0\")","v":"    the expected number of 'hits' = 8.1"}]
[{"$nulls":9},{"$f":"\"    with a standard deviation = \"&TEXT(sd,\"0.0\")","v":"    with a standard deviation = 2.6"}]
[]
[]
["Click each item below for suggestions and investigations"]
[{"$nulls":3},"   Item 1"]
[{"$nulls":3},"   Item 2"]
[{"$nulls":3},"   Item 3"]
[]
[]
[]
["To access/download all the DIGMath Apps for Statistics"]
["Click this link:",null,"DIGMath for Statistics and Probability"]
[]
["Created by:  Sheldon P. Gordon   &   Florence S. Gordon"]
["                  Farmingdale State College      NYIT"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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[null,"n","x0","y0","q",null,"x","y","Count","Either/or"]
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