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ch. 4
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19
Mathematics
Undergraduate 1
03/12/2012

Additional Mathematics Flashcards

 


 

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Term
Probability
Definition
The numerical value
representing the chance,
likelihood, or possibility that a
particular event will occur.
Term
Elementary event
Definition
each individual
or distinct outcome that may occur
Term
When rolling a die how many possible
elementary events are there?
Definition
6
Term
Event
Definition
Each possible type of
occurrence representing a set or
subset of elementary events
Term
Empirical
Definition
Based on relative frequencies
obtained from experimental data,
rather than on theoretical
reasoning
 P(A) = XA
/ T still applies
 Does not assume all elementary
events equally likely
Term
Joint event
Definition
An event defined by
two or more characteristics
o A car manufactured in the U.S. that
needs repair
o A car manufactured in the U.S. that
doesn’t need repair
Term
Subjective
Definition
Used when either the number of
elementary events is unknown or
experimental data is unavailable to
calculate relative frequencies
Term
complement =
Definition
1-P(A)
Term
or
Definition
+
Term
and
Definition
*
Term
If two events, A and B, are mutually exclusive,
then the probability that either event will occur is
the sum of their individual probabilities.
Definition
P(A)+P(B)
Term
If events A and B are not mutually exclusive then
Definition
P(A or B) = P(A) + P(B) – P(A and B)
Term
The conditional probability of B occurring given
that A has already occurred is equal to the joint
probability that both A and B will occur divided by
the probability of A occurring
Definition
P(B׀A) = P(A and B) / P(A
Term
P(B׀A)=
Definition
P(A and B) / P(A)
Term
| representative word
Definition
given
Term
independent P(A and B) =
Definition
= P(A) * P(B)
Term
Independence
Definition
- means the occurrence of one
event in no way affects the 2
nd
event.
Term
dependant P(A and B) =
Definition
P(A) * P(B׀A
Term
Probability distribution
Definition
A complete
set of all possible distinct
outcomes and their probabilities
of occurring
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