Expression 3: "y" equals Start sum from "n" equals 0 to "x" minus 1, end sum, left parenthesis, left parenthesis, 1 minus StartFraction, nCr left parenthesis, 47 , 5 , right parenthesis Over nCr left parenthesis, 50 , 5 , right parenthesis , EndFraction , right parenthesis times StartFraction, nCr left parenthesis, 50 minus "x" , 5 , right parenthesis Over nCr left parenthesis, 50 , 5 , right parenthesis , EndFraction times StartFraction, nCr left parenthesis, "x" , "n" , right parenthesis times nCr left parenthesis, 45 minus "x" , 10 minus "n" , right parenthesis Over nCr left parenthesis, 45 , 10 , right parenthesis , EndFraction times left parenthesis, 1 minus StartFraction, nCr left parenthesis, 35 minus left parenthesis, "x" minus "n" , right parenthesis , 2 , right parenthesis Over nCr left parenthesis, 35 , 2 , right parenthesis , EndFraction , right parenthesis , right parenthesisy=x−1∑n=01−nCr47,5nCr50,5·nCr50−x,5nCr50,5·nCrx,n·nCr45−x,10−nnCr45,10·1−nCr35−x−n,2nCr35,2
3
"x"x
Start sum from "n" equals 0 to "x" minus 1, end sum, left parenthesis, left parenthesis, 1 minus StartFraction, nCr left parenthesis, 47 , 5 , right parenthesis Over nCr left parenthesis, 50 , 5 , right parenthesis , EndFraction , right parenthesis times StartFraction, nCr left parenthesis, 50 minus "x" , 5 , right parenthesis Over nCr left parenthesis, 50 , 5 , right parenthesis , EndFraction times StartFraction, nCr left parenthesis, "x" , "n" , right parenthesis times nCr left parenthesis, 45 minus "x" , 10 minus "n" , right parenthesis Over nCr left parenthesis, 45 , 10 , right parenthesis , EndFraction times left parenthesis, 1 minus StartFraction, nCr left parenthesis, 35 minus left parenthesis, "x" minus "n" , right parenthesis , 2 , right parenthesis Over nCr left parenthesis, 35 , 2 , right parenthesis , EndFraction , right parenthesis , right parenthesisx−1∑n=01−nCr47,5nCr50,5·nCr50−x,5nCr50,5·nCrx,n·nCr45−x,10−nnCr45,10·1−nCr35−x−n,2nCr35,2
negative 2−2
r1c2: 00
r1c3:
negative 1−1
r2c2: 00
r2c3:
00
r3c2: 00
r3c3:
11
r4c2: 0.0 1 1 0 4 0 8 1 60.011040816
r4c3:
22
r5c2: 0.0 1 9 6 0 3 0 8 20.019603082
r5c3:
33
r6c2: 0.0 2 6 0 3 8 8 6 40.026038864
r6c3:
r7c2:
r7c3:
4
Expression 5: "y" equals Start sum from "n" equals 0 to "x" minus 1, end sum, left parenthesis, left parenthesis, 1 minus StartFraction, nCr left parenthesis, 57 , 5 , right parenthesis Over nCr left parenthesis, 60 , 5 , right parenthesis , EndFraction , right parenthesis times StartFraction, nCr left parenthesis, 60 minus "x" , 5 , right parenthesis Over nCr left parenthesis, 60 , 5 , right parenthesis , EndFraction times StartFraction, nCr left parenthesis, "x" , "n" , right parenthesis times nCr left parenthesis, 55 minus "x" , 10 minus "n" , right parenthesis Over nCr left parenthesis, 55 , 10 , right parenthesis , EndFraction times left parenthesis, 1 minus StartFraction, nCr left parenthesis, 45 minus left parenthesis, "x" minus "n" , right parenthesis , 2 , right parenthesis Over nCr left parenthesis, 45 , 2 , right parenthesis , EndFraction , right parenthesis , right parenthesisy=x−1∑n=01−nCr57,5nCr60,5·nCr60−x,5nCr60,5·nCrx,n·nCr55−x,10−nnCr55,10·1−nCr45−x−n,2nCr45,2
5
"x"x
Start sum from "n" equals 0 to "x" minus 1, end sum, left parenthesis, left parenthesis, 1 minus StartFraction, nCr left parenthesis, 57 , 5 , right parenthesis Over nCr left parenthesis, 60 , 5 , right parenthesis , EndFraction , right parenthesis times StartFraction, nCr left parenthesis, 60 minus "x" , 5 , right parenthesis Over nCr left parenthesis, 60 , 5 , right parenthesis , EndFraction times StartFraction, nCr left parenthesis, "x" , "n" , right parenthesis times nCr left parenthesis, 55 minus "x" , 10 minus "n" , right parenthesis Over nCr left parenthesis, 55 , 10 , right parenthesis , EndFraction times left parenthesis, 1 minus StartFraction, nCr left parenthesis, 45 minus left parenthesis, "x" minus "n" , right parenthesis , 2 , right parenthesis Over nCr left parenthesis, 45 , 2 , right parenthesis , EndFraction , right parenthesis , right parenthesisx−1∑n=01−nCr57,5nCr60,5·nCr60−x,5nCr60,5·nCrx,n·nCr55−x,10−nnCr55,10·1−nCr45−x−n,2nCr45,2