Studied by 7 peoplep(E)
n(E)/ n(S)
P(E’)
complementary event, 1-P(E)
independent events
events where the occurrence of one event does not affect the occurrence of the other event.
p(A&B) when independent
p(A) x p(B)
dependent events
events where the occurrence of one event does affect the occurrence of the other event (without replacement, etc)
p (A then B)
p(A) x p(B|A)
A U B
union of sets A and B, all elements belonging to A, B and A&B
A∩ B
all elements belonging only to both A & B
mutually exclusive/disjoint sets
no elements in common
addition law of probability
P(A U B) = P(A) + P(B) - P(A ∩ B)
if mutually exclusive, P(A U B) =
P(A U B) = P(A) + P(B)
P (A | B) =
P(A ∩ B) / p(B)
finding nth term
T r+1 = (nCr) x a^n-r x b^r (n= exponent r =term you’re tyring to find minus 1)
constant term
when exponent = 0
characteristics of a binomial probability
2 possible outcomes
given number of trials
independent trials
discrete random variable
a variable that can only take on a countable number of distinct values. It cannot take on any value between these distinct values.
continuous random variable
has possible outcomes within an interval that need to be measured
number of times we expect event to occur =
n x p (n=number of trials) (p=probability)
binompdf
finding the possibility that x=r
binomcdf
finding the possibility that x< r (1- p = x>r)
mean of x
n x p
standard deviation of x
root of (np(1-p))
normalcdf
used for normal distribution problems
z score
how many standard deviations a point is away from the mean. z= x-μ/σ
finding p(z>a)
normalcdf (-E99, a)
finding p(z<a)
normalcdf (a, E99)
finding p(z>a>b)
normalcdf (a, b)
when given p=(x<k) = probability and told to solve for x
invnorm(probability)
Note
Flashcard