BINS - Acronym for detecting if it is a binomial
- Binary - Each trial has only 2 outcomes
- Independant - > each shot going through is independant from if the last went through
- N is fixed ( number of trials ) ( he only gets three shots )
- Same probability throughout
Binomial Formula
P ( X - K ) = n C k * p^k * (1-p)^(n-k)
.72 ( make the shot ) ( P )
.28 ( fail the shot ) ( done one time because one way to lose )
.28 = 1 - P
10 - 6 makes, 4 misses
(.72)^6 (.28)
p for probability ( Specifically probability of success ) ( this is our .72 ) k is not a probability but a number of successes ( 6 ) ( P ^ k = .72^6 ) 1 - P = probability of failures n is the total number of trials so n - k is the total number of fails
sub n C sub k is number of combinations
Math - > probability - > ncr
10 ncr 6 210
Calculator shortcuts
2nd vars - > binompdf = exactly one value bincomcdf = all values below
Summary stats for binomials:
Mx = np weirdox = sqrt(np(1-p)))