Expression 8: Start sum from "x" equals 0 to "n" , end sum, "B" left parenthesis, "n" , "p" , "x" , right parenthesisn∑x=0Bn,p,x
equals=
11
8
Expression 9: "B" left parenthesis, "n" Subscript, 0 , Baseline , "p" Subscript, 0 , Baseline , "x" , right parenthesis equals left brace, 0 less than or equal to "x" less than or equal to "n" Subscript, 0 , Baseline : StartFraction, "n" Subscript, 0 , Baseline ! Over "x" ! left parenthesis, "n" Subscript, 0 , Baseline minus "x" , right parenthesis ! , EndFraction times "p" Superscript, 0 , Baseline "x" undefined left parenthesis, 1 minus "p" Subscript, 0 , Baseline , right parenthesis Superscript, "n" Subscript, 0 , Baseline minus "x" , Baseline , right braceBn0,p0,x=0≤x≤n0:n0!x!n0−x!·px01−p0n0−x
9
Expression 10: "P" left parenthesis, "x" Subscript, 1 , Baseline , "x" Subscript, 2 , Baseline , right parenthesis equals Start sum from "x" equals "x" Subscript, 1 , Baseline to "x" Subscript, 2 , Baseline , end sum, "B" left parenthesis, "n" , "p" , "x" , right parenthesisPx1,x2=x2∑x=x1Bn,p,x