Calculus Made Easy Review from Made Easy Apps at Mathforum Calculus Made Easy at Texas Instruments
Secured by PayPal

Binomial Distribution Calculator


All you need to know about Binomial Distributions

Binomial Distribution Calculator

is the Binomial Probability formula.

used when the following conditions called "BINS" are fulfilled:
B = Binary (two) outcomes are possible, called Bernoulli trials, ex: Head or Tails, Make or Miss a Free Throw.
I = The events are Independent, ex: getting a head has no impact on the outcome of the next toss.
N = Predetermined Number of trials. ex: we toss a coin 3 times or we take 10 free throws
S = Success probability is constant, ex: P(Head) = 50% or P(make free throw) = 80% = .80

Advanced Information on the Binomial Distribution: Mean=n*p , Standard Deviation = Binomial Distribution Calculator Standard Deviation

Sample Binomial Distribution Problem

What is the probability of making exactly 2 of 3 free throws, make probability per free throw is 80% ?
Here, x=2 (the number of successes) , n=3 (the number of trials), p=.8 (success probability)
Plugged into the Binomial Probability formula: P(X=2)=3C2*.82*(1-.8)(3-2) = 3*.82*.2 = .6*.64 = .384 = 38.4%
3!/(3-2)!*2! = 3*2*1/(1)(1*2) = 3 which gives the number of ways of making 2 out 3 free throws.
Remember: n!=n*(n-1)*(n-2)*..*3*2*1
Those 3 ways can be listed as MAKE, MAKE, MISS or MAKE, MISS, MAKE or MISS, MAKE, MAKE.
Get it now? Try the above Binomial Distribution Calculator a few more times.

Free Online Calculators