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8: Probability and Statistics Solvers and Properties
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Core Algorithms
Find the Expected Length of a Human Chromosome
Find the expected length of a human chromosome, given that the length is greater than the mean.
In[1]:=
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\[ScriptCapitalD] = SmoothKernelDistribution[ N[Log[Table[GenomeData[i, "SequenceLength"], {i, 41}] ]]];
In[2]:=
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expected = NExpectation[x \[Conditioned] x > Mean[\[ScriptCapitalD]], x \[Distributed] \[ScriptCapitalD]];
In[3]:=
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Labeled[Plot[PDF[\[ScriptCapitalD], x], {x, 0, 30}, PlotStyle > Thick, Filling > Axis, FillingStyle > Hue[.8, .2, .8], Frame > True, ImageSize > 400], Style[Row[{Text[ "E(\!\(\*FormBox[\(Length \[Conditioned] Length > Mean\), TraditionalForm]\))"], expected}, "="], FontFamily > "Verdana"]]
Out[3]=