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Complement:
All outcomes not in event.
Mutually Exclusive (Disjoint):
two events that cannot occur at same time.
P(A and B)=0
Conditional Probability:
The probability an event occurs given another event has happened.
P(AB)
P(AB)= P(A and B)/P(B), P(BA) = P(a and B)/P(A)
If A and B are independent: P(AB) = P(A) x P(B)/P(B)=P(A)
Two events are independent if:
P(AandB)= P(A) x P(B)
P(AB) = P(A)
P(BA) = P(B)
Union of two events: P(A or B) => P(AuB) = P(A)+P(B)P(A and B)
P(AandB) => P(AnB)
Random Variable:
characteristics of an event in random space.
Discrete
: Whole numbers: something you can count
(whole numbers)

continuous:
Something you measure
Standard Deviation of a Discrete Variable:
and the standard deviation is:
EXAMPLE
So the standard deviation would be the square root of 1.472, or 1.213
Binomial:
There are a fixed number of trials (a fixed sample size).
On each trial, the even of interest either occurs or does not.
The probability of occurrence (or not) is the same on each trial.
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 Fall '08
 BARROSO,JOAOR
 Statistics, Conditional Probability, Mutually Exclusive, Probability

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