intro to probability

n(E)/ n(S)

complementary event, 1-P(E)

events where the occurrence of one event does not affect the occurrence of the other event.

p(A) x p(B)

events where the occurrence of one event does affect the occurrence of the other event (without replacement, etc)

p(A) x p(B|A)

union of sets A and B, all elements belonging to A, B and A&B

all elements belonging only to both A & B

no elements in common

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B) = P(A) + P(B)

P(A ∩ B) / p(B)

T r+1 = (nCr) x a^n-r x b^r (n= exponent r =term you’re tyring to find minus 1)

when exponent = 0

• 2 possible outcomes

• given number of trials

  • independent trials

a variable that can only take on a countable number of distinct values. It cannot take on any value between these distinct values.

has possible outcomes within an interval that need to be measured

n x p (n=number of trials) (p=probability)

finding the possibility that x=r

finding the possibility that x< r (1- p = x>r)

n x p

root of (np(1-p))

used for normal distribution problems

how many standard deviations a point is away from the mean. z= x-μ/σ

normalcdf (-E99, a)

normalcdf (a, E99)

normalcdf (a, b)

invnorm(probability)