Binomial Distribution CDF Calculator

Calculates the Binomial Distribution Cumulative Distribution Function.

 

Formula: binomdist(sccs, trials, prob, 1)

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

See the Statistical Distributions Overview page for more statistical distribution calculators.

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