CALC 1 Home Documentation Home Contact

# Binomial Distribution CDF Calculator

Calculates the Binomial Distribution Cumulative Distribution Function.  cdf: The result of the formula. 0<= cdf <=1
sccs: The number of successful trials. Only the integer part is used. 0 <= sccs <= trials.
trials: The total number of trials. Only the integer part is used. 0 <= trials
prob: The probability of success for each trial. 0<= prob <=1

## Example 1

Sports team A has a 0.6 probability of beating team B in any given game. If they play 4 games, what is the probability of team A winning 0,1 or 2 of the 4 games?

Value Keystrokes Display Description
2 sccs 2.0000 Stores the sccs value.
4 trials 4.0000 Stores the trials value.
.6 prob 0.6000 Stores the prob value.
cdf 0.5248 Calculates the cdf.

## Example 2

In order for team A to have a .1 cdf of winning 0, 1 or 2 of 4 games, what is the required probability of winning an individual game?

These keystrokes assume the values from example 1.

Value Keystrokes Display Description
.1 cdf 0.1000 Stores the cdf value.
prob 0.8574 Calculates the prob value.

With a 0.8574 probability of winning each game, there is only a .1 probability of winning 0, 1 or 2 games. So there is a .9 probability that team A will win 3 or 4 or the 4 games.

Reference:

Binomial Distribution - Wikipedia