stats 42 Flashcards
STATS 4-2
event
any collection of results or outcomes of a procedure
STATS 4-2
simple event
an outcome or an event that cannot be further broken down into simpler components
STATS 4-2
sample space
for a procedure consists of all possible simple events. that is, the sample space consists of all outcomes that cannot be broken down any further
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P
probability
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A,B, & C
specific events
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P(A)
the probability of event A occurring
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Relative frequency approximation of probability
P(A)= number of times A occurred/number of times procedure was repeated.
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Classical Approach to probability (requires equally likely outcomes)
P(A) = number of ways A occur/number of different simple events = s/n
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For any event A the probability of A is
between 0 & 1 inclusive
0≤P(A)≤1
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law of large numbers
As a procedure is repeated again and again, the relative frequency probability of an event tends to approach the actual probability
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complement
the complement of event A denoted by A bar, consists of all outcomes in which A does not occur
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An event is unlikely
if it’s probability is very small, such as 0.05 or less
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Actual odds against
Event A occurring are the ratio P(Ā)/P(A), usually expressed in the form of a:b, (or “a to b”), where a and b are integers having no common factors.
STATS 4-2
Actual Odds in favor
The ratio P(A)/P(Ā). Reciprocal of actual odds against that event. b:a