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Binomial Distribution PMF Calculator

Calculates the Binomial Distribution Probability Mass Function.

pmf: The result of the formula. 0<= pmf <=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 exactly 4 of the 4 games?

Value Keystrokes Display Description
4 sccs 4.0000 Stores the sccs value.
trials 4.0000 Stores the trials value.
.6 prob 0.6000 Stores the prob value.
pmf 0.1296 Calculates probability mass function.

Example 2

In order for team A to have a .5 pmf of winning 4 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
.5 pmf 0.5000 Stores the pmf value.
prob 0.8409 Calculates the prob value.

Reference:

Binomial Distribution - Wikipedia