Many computer packages produce binomial probabilities. We illustrate the MINITAB commands for obtaining the binomial probabilities with n = 5 and p = .33. The probabilities P[X = x] are obtained by first setting 0, 1, 2, 3, 4, 5 in CI and then selecting:

which produces the output.
Probability Density Function
Binomial with n = 5 and p = 0.33
x P(X=x)
0................................ 0.135013
1................................ 0.332493
2................................ 0.327531
3................................ 0.161321
4................................ 0.039728
5................................ 0.003914
To obtain the cumulative probabilities P(X Using the computer, calculate
(a) P[X (b) P[10 Cumulative Distribution Function
Binomial with n = 5 and p = 0.33
x P(X0........................... 0.13501
1........................... 0.46751
2........................... 0.79504
3........................... 0.95636
4........................... 0.99609
5........................... 1.00000

Calc > Probability distributions > Binomial. Type 5 in Number of trials and .33 in Probability Enter CI in Input constant. Click OK.