Cumulative binomial probabilities can be calculated using MINITAB.

Output:
Cumulative Distribution Function Binomial with \(n=7\) and \(p=0.33\)
\[\begin{array}{lr}
x & P(X2 & 0.578326 \end{array}\]
Find the cumulative binomial probabilities \(x=5,10\), 15 and 20 when \(n=27\) and \(p=0.47\).

Dialog Box: Calc Probability Distribution > Binomial Choose Cumulative Distribution. Enter 7 in Number of trials and .33 in Probability of success. Choose Input constant and enter 2. Click OK.