Chapter Review
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the sum of their expectations. We concluded by discussing how likely it is that the average
of a set of random variables, computed for a particular trial of an experiment, differs greatly
from the expected value of their average. To obtain the Law of Averages, we introduced
the notion of sets of i.i.d. random variables.
8.11.1 Terms and Theorems
8.1-8.2 Summary
TERMS
chance
pips
countably infinite sample space
probability
discrete sample space
probability density
disjoint union
probability density function
element
probability of the outcome
event
sample space
experiment
spots
fair
subset
frequency interpretation
uniform probability density function
occur
value
outcome
THEOREMS
Elementary Probability Facts
Probability of the Complement
8.3 Summary
TERMS
Bernoulli process
Probability Multiplication Principle
Bernoulli trial process
Probability of Cross Product Events
b(n; k, p)
Product of Sums Principle
cross product
success
cross product sample space
trials
failure
THEOREMS
Probability Density on a Cross Product
Sample Space
Probability of Events of Cross Product
Probability of k Successes in a Bernoulli
Form
Process
8.5 Summary
TERMS
conditional probability
dependent trial
independent
communication channel
disjoint events
independent set of events
reliability
independence