• Study Resource
• Explore

# Download Sampling Theory • sample space set of all possible outcomes of a

Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Statistics wikipedia, lookup

History of statistics wikipedia, lookup

Probability wikipedia, lookup

Probability interpretations wikipedia, lookup

Randomness wikipedia, lookup

Transcript
```Section 4.2
1
Sampling Theory
• sample space
set of all possible outcomes of a chance experiment
• event
set of one or more outcomes from the sample space
• probability model
method for assigning probabilities to the outcomes
in a sample space
• disjoint events
events which have no outcomes in common, that is,
can never occur simultaneously
Rules of Probability
1. Probability P(A) of an event A lies between 0 and 1.
2. P(S) = 1 where S is the entire space.
3. P(A does not occur) = 1 – P(A).
4. If A and B are disjoint events, then
P(A or B) = P(A) + P(B).
Section 4.2
2
Random variables
• random variable
variable whose value is the outcome of a random
phenomenon
If there are only finitely many possible outcomes of a
random variable, assign probabilities to each of these;
then, the probability of any event is the sum of the
probabilities of its individual outcomes.
If events consist of interval ranges of values of a
random variable (like a normally distributed variable)
which is described by a certain density curve, the
probability of an event is the area under the density
curve over that interval.
```
Related documents