Exact Boundary Crossing Probability, version 1.1
(c) Bahjat Qaqish, 2003

The distribution of all possible outcomes (events/subjects):

    Events   Subjects   Boundary    Probability
         3          3      upper          0.008
         4          5      upper        0.00384
         4          6      upper       0.009216
         5          8      upper     0.00311296
         5          9      upper    0.006946816
         6         11      upper  0.00226492416
         6         12      upper 0.005016387584
         7         14      upper 0.00163477192704
         7         15      upper 0.00363354233242
         8         17      upper 0.0011915957266
         8         18      upper 0.00266356691829
         9         20      upper 0.000879917165477
         0         20      right 0.0115292150461
         1         20      right 0.0576460752303
         2         20      right 0.136909428672
         3         20      right 0.205183999023
         4         20      right 0.216893358054
         5         20      right  0.17029236091
         6         20      right 0.100565379679
         7         20      right 0.0426891986554
         8         20      right 0.00989050291603

P(event) = 0.2
Maximum sample size n = 20
P(Hitting the lower boundary) = 0
P(Hitting the upper boundary) = 0.0484005
P(Hitting the right boundary) = 0.9516
E[#events/#subjects] = 0.213788
S[#events/#subjects] = 0.132726
E[#events]     = 3.89324
S[#events]     = 1.65469
E[#subjects]   = 19.4662
S[#subjects]   = 2.58105
E[] denotes the mean, S[] denotes the standatd deviation
Program: cp3
CPU time: 15 milliseconds
Real time: 0 seconds
Date and time: Tue Jul 27 12:36:34 2004