0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000000998 0.09999999999910014 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000000998 0.09999999999910014 Distribution_Two_Sigma Distribution_Two_Beta Distribution_Two=Beta(Choose(Distribution_Two_Sigma,1000,100,50,10,5,4,3,2,1,0.5),Choose(Distribution_Two_Beta,1000,100,50,10,5,4,3,2,1,0.5)) 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000000998 0.09999999999910014 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000001 0.1000000000000998 0.09999999999910014 Distribution_One_Sigma Distribution_One_Beta Distribution_One=Beta(Choose(Distribution_One_Sigma,1000,100,50,10,5,4,3,2,1,0.5),Choose(Distribution_One_Beta,1000,100,50,10,5,4,3,2,1,0.5)) Distribution_One Distribution_Two Combined_Distribution_Multiplied=Distribution_One*Distribution_Two Distribution_One_Sigma Distribution_One_Beta Distribution_Two_Sigma Distribution_Two_Beta Combined_Distribution_Parameterized=Beta(Choose(Distribution_One_Sigma,1000,100,50,10,5,4,3,2,1,0.5)+Choose(Distribution_Two_Sigma,1000,100,50,10,5,4,3,2,1,0.5),Choose(Distribution_One_Beta,1000,100,50,10,5,4,3,2,1,0.5)+Choose(Distribution_Two_Beta,1000,100,50,10,5,4,3,2,1,0.5)) Distribution Two 990 485 1051 523 Sigma 884 715 930 743 Beta 1109 715 1155 743 Distribution One 555 485 616 523 Sigma 449 715 495 743 Beta 659 715 705 743 Combined Distribution (Multiplied) 780 275 841 313 Combined Distribution (Parameterized) 1215 260 1276 298