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math 3c
up to midterm 1
21
Mathematics
Undergraduate 2
10/24/2009

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Cards

Term
multiplication principle
Definition
total # of outcome = multiplication of all possible outcomes
Term
permutation
Definition
order matters
n!/(n-k)!
Term
combination
Definition
order doesn't matter
n!/((n-k)!k!)
-has the "deordering" agent
Term
disjoint/ mutually exclusive
Definition
unrelated events
Term
conditional probability
Definition
- an event based on a an event that already occured
-prob. where we condition on some previous
knowledge
P(AIB)=p(A intersect B)/ P(B)
Term
"and"& " or"
Definition
and = multiply
or= addition
Term
"at least"
Definition
situation 1+ situation 2+ ... untill all possible choices are exhausted
Term
law of total probability
Definition
Term
independence
Definition
=unrelated events
P(A intersect B) =P(A)P(B), such that P(BIA)=P(B)
Term
pairwise independence
Definition
Term
bayes formula
Definition
Term
mass distribution function/ probability mass function
Definition
-make a chart
chance that a X=x, where big X is the random variable.
Term
cumulative distribution function
Definition
F(x)=P(X less than or equal to x)
Term
discrete random variables
Definition
-countably infinite number of variable
Term
continuos random variables
Definition
-a continuous range of variables... allowed to take any in between numbers
Term
sample space
Definition
all the possible outcome
Term
de morgans laws
Definition
complementaries of (a intersect b)
and of (a union b)
Term
stars and bars
Definition
Term
pairwise disjoint
Definition
set of 2 that don't intersect any other set of 2 things
Term
probability
Definition
the chance of an event occuring
value between 1 and 0
Term
random variable
Definition
p(x)=P(X=x) which is greater than or equal to zero. sum of all p(x)=1
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