{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["Main","PopulationData","PopulationHistogram","UniformVsNormal"],"not_rendered":{"charts":6,"images":4,"macros":1,"external_links":0,"defined_names":0,"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"}

{"sheet":"Main","index":0,"n_rows":25,"n_cols":47,"rows_kept":25,"cut":false,"hidden":false,"merged":[[2,25,2,27],[3,25,3,27],[4,25,4,27],[2,18,4,20],[24,1,25,6],[24,7,25,8],[24,10,25,15],[1,1,11,9],[13,1,14,4],[0,11,4,17],[16,1,17,4],[14,40,14,45],[15,40,15,45],[16,40,16,45],[24,19,25,24],[24,25,25,26],[24,28,25,33],[24,34,25,38],[17,40,17,45],[18,40,18,45],[19,40,19,45],[0,40,3,47],[0,28,4,36],[11,40,11,48],[24,16,25,17],[12,46,12,48],[13,46,13,48],[14,46,14,48],[15,46,15,48],[16,46,16,48],[17,46,17,48],[18,46,18,48],[19,46,19,48],[20,40,22,45],[20,46,22,48],[12,40,12,45],[13,40,13,45]]}
[null,null,null,null,null,null,null,null,null,null,null,"Population - Normal Distribution, Average ball weight 250.07 and SD 4.37",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Understanding Calculation of Probability for Normal Distribution",null,null,null,null,null,null,null,null,null,null,null,"Download from http://aksharait.com"]
[null,"Here population is balls having weights 238 grms to 262 grms with 250 grms as average μ and 4.37 grms as std. deviation σ. Weights of balls are normally distributed. Note the formula. Event takes one random ball and if its weight is within specified interval count that event and updates probability. Repeat the exproment by changing value of Interval (Cell AU15)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"INDEX",null,null,"Max",null,null,null,262.43]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Avg",null,null,null,250.07]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Min",null,null,null,238.6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sample"]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Normal Distribution Theory"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Avg  (μ)",null,null,null,null,null,250.07]
[null,"Repeat Expriment",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SD (σ)",null,null,null,null,null,4.37]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Interval",null,null,null,null,null,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Avg-Interval",null,null,null,null,null,{"$f":"AU13-AU15","v":246.07}]
[null,"Break Expriment",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Avg+Interval",null,null,null,null,null,{"$f":"AU13+AU15","v":254.07}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CumDst Avg-Int",null,null,null,null,null,{"$f":"NORMDIST(AU16,AU13,AU14,TRUE)","v":0.18000873282199414}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CumDst Avg+Int",null,null,null,null,null,{"$f":"NORMDIST(AU17,AU13,AU14,TRUE)","v":0.81999126717800586}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Diff",null,null,null,null,null,{"$f":"AU19-AU18","v":0.63998253435601171}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Probability that ball wight will be between 248.98 and 251.16 is ",null,null,null,null,null,{"$f":"AU20","v":0.63998253435601171}]
[]
[]
[]
[null,"This Event Number     (not trials)",null,null,null,null,null,36,null,null,"Weight of this ball",null,null,null,null,null,256.77826748251198,null,null,"Events where weight is in desired interval",null,null,null,null,null,21,null,null,"Observed Probability of having weight between desired interval",null,null,null,null,null,{"$f":"Z25/H25","v":0.58333333333333337}]

{"sheet":"PopulationData","index":1,"n_rows":389,"n_cols":3,"rows_kept":389,"cut":false,"hidden":false,"merged":[]}
["Normal Distributed Weight Values with μ = 250 σ2 = 20","μ - xi","8*(μ - xi) To color the balls in scale of \" 100"]
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[249.37204439950801,{"$f":"250-A3","v":0.62795560049198684},{"$f":"B3*8","v":5.0236448039358947}]
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[243.48108254637401,{"$f":"250-A131","v":6.5189174536259884},{"$f":"B131*8","v":52.151339629007907}]
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