Question: Section 2.4.5 showedthatforabinom(n, ) randomvariable,thesampleproportion has standard deviation (1 )~n. Usethistoexplainwhy tends tobecloserto as n increases. Thus,intherainsimulationin Section 2.1.1, therelativefrequencyforaparticularoutcome

Section 2.4.5 showedthatforabinom(n, π) randomvariable,thesampleproportion ˆπ has standard deviation

π(1 − π)~n. Usethistoexplainwhy ˆπ tends tobecloserto π as n increases.

Thus,intherainsimulationin Section 2.1.1, therelativefrequencyforaparticularoutcome convergesas n increases toanumberthatweregardastheprobabilityofthatoutcome.

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