Calculates the Binomial Distribution Probability Mass Function.
Formula: binomdist(sccs, trials, prob, 0)
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
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. |
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