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Lecture 5

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MATH 141 Lecture 5: Statistics 9/20/2016
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Bloomsburg University

MATH - Mathematics

MATH 141

Zhang

Fall

Description

Statistics
9/20/2016
Probability
The probability is a measurement of the chance
The probability is a number between 0 and 1, corresponding to 0% and 100%
Definitions
Experiment – A process (game) that lead to an outcome as observation that cannot be
predicted. (i.e. random outcome)
Sample Point – The most basic outcomes of an experiment. The sample points MUST be
mutually exclusive from each other.
Sample Space – The collection of all possible sample points.
Event – A specific collection of sample points which have a common property. An event
can be a subset of the sample space. The sample is also an event.
o Impossible event – The event that won’t happen ever. This will be an empty set
that contains no sample points.
o Certain Event – The event that will happen for sure. The sample space is a certain
event.
Notation
Events: Capital letters such as A, B, C…
o A = {Event description}
Probability: P
o P(A) = Probability / chance that A will happen
Impossible Event: Phi (Fee)
Sample Space – S
P() = 0, and P(S) = 1
Properties of the Probability
The probability is a number

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