Expression 12: "y" equals left bracket, "u" left parenthesis, "w" Subscript, 1 , Baseline , right parenthesis , "u" left parenthesis, "w" Subscript, 2 , Baseline , right parenthesis , "u" left parenthesis, "E" Subscript, "u" , Baseline , right parenthesis , "u" Subscript, "g" , Baseline , right bracket left brace, 0 less than or equal to "x" less than left bracket, "w" Subscript, 1 , Baseline , "w" Subscript, 2 , Baseline , "E" Subscript, "u" , Baseline , "E" Subscript, "u" , Baseline , right bracket , right bracey=uw1,uw2,uEu,ug0≤x<w1,w2,Eu,Eu
12
`w_1` left parenthesis, "w" Subscript, 1 , Baseline , 0 , right parenthesisw1,0
Label:
equals=
left parenthesis, 0.5 , 0 , right parenthesis0.5,0
13
`w_2` left parenthesis, "w" Subscript, 2 , Baseline , 0 , right parenthesisw2,0
Label:
equals=
left parenthesis, 6.1 , 0 , right parenthesis6.1,0
14
`pw_1 + (1-p) w_2` left parenthesis, "E" Subscript, "u" , Baseline , 0 , right parenthesisEu,0
Label:
equals=
left parenthesis, 3.3 , 0 , right parenthesis3.3,0
15
`CE` left parenthesis, "C" Subscript, "E" , Baseline , 0 , right parenthesisCE,0
Label:
equals=
left parenthesis, 2.3 3 2 7 1 5 3 7 , 0 , right parenthesis2.33271537,0
16
Expression 17: "R" Subscript, "P" , Baseline equals negative 0.5 left brace, "C" Subscript, "E" , Baseline less than or equal to "x" less than or equal to "E" Subscript, "u" , Baseline , right braceRP=−0.5CE≤x≤Eu
17
`RP` left parenthesis, 1 half "C" Subscript, "E" , Baseline plus 1 half "E" Subscript, "u" , Baseline , negative 0.4 , right parenthesis12CE+12Eu,−0.4
Label:
equals=
left parenthesis, 2.8 1 6 3 5 7 6 8 , negative 0.4 , right parenthesis2.81635768,−0.4
18
`u(w_1)` left parenthesis, 0 , "u" left parenthesis, "w" Subscript, 1 , Baseline , right parenthesis , right parenthesis0,uw1
Label:
equals=
left parenthesis, 0 , 0.7 6 6 3 0 9 9 8 , right parenthesis0,0.76630998
19
`u(w_2)` left parenthesis, 0 , "u" left parenthesis, "w" Subscript, 2 , Baseline , right parenthesis , right parenthesis0,uw2
Label:
equals=
left parenthesis, 0 , 2.0 0 2 4 7 2 9 4 , right parenthesis0,2.00247294
20
`u(CE)=pu\left(w_{1}\right)+\left(1-p\right)u\left(w_{2}\right)` left parenthesis, 0 , "u" left parenthesis, "C" Subscript, "E" , Baseline , right parenthesis , right parenthesis0,uCE
Label:
equals=
left parenthesis, 0 , 1.3 8 4 3 9 1 4 6 , right parenthesis0,1.38439146
21
`u\left(pw_{1}+\left(1-p\right)w_{2}\right)` left parenthesis, 0 , "u" left parenthesis, "p" "w" Subscript, 1 , Baseline plus left parenthesis, 1 minus "p" , right parenthesis "w" Subscript, 2 , Baseline , right parenthesis , right parenthesis0,upw1+1−pw2
Label:
equals=
left parenthesis, 0 , 1.5 8 1 6 4 6 2 4 , right parenthesis0,1.58164624
22
Expression 23:
23
24
powered by
powered by
"w" Subscript, 1 , Baselinew1
"w" Subscript, 2 , Baselinew2
"p" "w" Subscript, 1 , Baseline plus ( 1 minus "p" ) "w" Subscript, 2 , Baselinepw1+(1−p)w2
"C" "E"CE
"R" "P"RP
"u" ( "w" Subscript, 1 , Baseline )u(w1)
"u" ( "w" Subscript, 2 , Baseline )u(w2)
"u" ( "C" "E" ) equals "p" "u" left parenthesis, "w" Subscript, 1 , Baseline , right parenthesis plus left parenthesis, 1 minus "p" , right parenthesis "u" left parenthesis, "w" Subscript, 2 , Baseline , right parenthesisu(CE)=puw1+1−puw2
"u" left parenthesis, "p" "w" Subscript, 1 , Baseline plus left parenthesis, 1 minus "p" , right parenthesis "w" Subscript, 2 , Baseline , right parenthesisupw1+1−pw2
