Binomials

binomial formula: [n / k] (p)^k (1-p)^n-k

  • nCk is another way to write the first part

n= total # of trials

k= # of wins/successes

p= probability of success

simplification: you do the # of trials above the # of successes times the probability of success to the power of the # of successes times the probability of losing to the power of the # of losses

binompdf = for when you have an EXACT number of successes

  • binompdf (n, p, x) —> (# of trials, probability of success, # of successes)

binomcdf = everything up to and including a certain number of successes