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Mod 6 Statistics - Probability
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Terms in this set (23)
probability experiment
an action or trial through which specific results are obtained
outcome
result of a single trial in a probability experiment
sample space
set of all possible outcomes of probability experiment
event
consists of one or more outcomes and is a subset of sample space
theoretical/classical probability
used when each outcome is equally likely
empirical probability
based on observations obtained from probability experiments
law of large numbers
as an experiment is repeated, empirical probability of an event approaches theoretical or actual probability of event
complement of an event
all the events in the sample space that aren't in the set of events labeled E
odds
actual odds against an event occurring is the ratio P(line A)/P(A)
conditional probability
probability of an event occurring, given that another event has occurred
independent events
2 events independent if occurrence of 1 event has no effect on the occurrence of the other event
with replacement
one thing is drawn out, noted, and put back
without replacement
one thing drawn out, noted, discarded
the multiplication rule
probability that 2 events a + b will occur in sequence
mutually exclusive
can't occur at same time
addition rule
probability that a or b will occur
discreet random variable
variable you can list all possible outcomes
continuous random variable
infinitely many outcomes, can't be listed
probability distribution
lists possible outcomes along with probability of occurrence
all probability distributions must fulfill these 2 conditions
1. E P(x) = 1 2. o < or = p(x) < or = 1
probability histogram
total area has to equal 1
exp
M, means mathematical expectation
Binomial Experiments
1. fixed number of independent trials
2. only 2 possible outcomes for each trial
3. probability of success= p, same for trial in a single trial. Probability of failure= q= 1-p
4. x=total # of success
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