ISYE Exam Questions and Correct Answers 100% Verified Graded A+
Random
Experiment - An experiment that can result in different outcomes, even though it is
repeated in the
same manner every time,
Sample Space - The set of all possible outcomes of a random experiment is called the
sample space
of the experiment
Discrete - consists of a fi nite or countable infi nite set of outcomes
Continuous - contains an interval (either fi nite or infi nite) of
real numbers
Event - subset of the sample space of a random experiment
Mutually
Exclusive
Events - Two events, denoted as E1 and E2, such that
E1 ∩ E2 = ∅
, Multiplication Rule
(for counting
techniques) -
Permutations -
Permutations of
Similar Objects -
Combinations -
Equally Likely
Outcomes - Whenever a sample space consists of N possible outcomes that are equally
likely, the
probability of each outcome is 1/N.
Probability of
an Event - For a discrete sample space, the probability of an event E, denoted as P(E),
equals the sum of the probabilities of the outcomes in E.
Axioms of
Probability -
Random
Experiment - An experiment that can result in different outcomes, even though it is
repeated in the
same manner every time,
Sample Space - The set of all possible outcomes of a random experiment is called the
sample space
of the experiment
Discrete - consists of a fi nite or countable infi nite set of outcomes
Continuous - contains an interval (either fi nite or infi nite) of
real numbers
Event - subset of the sample space of a random experiment
Mutually
Exclusive
Events - Two events, denoted as E1 and E2, such that
E1 ∩ E2 = ∅
, Multiplication Rule
(for counting
techniques) -
Permutations -
Permutations of
Similar Objects -
Combinations -
Equally Likely
Outcomes - Whenever a sample space consists of N possible outcomes that are equally
likely, the
probability of each outcome is 1/N.
Probability of
an Event - For a discrete sample space, the probability of an event E, denoted as P(E),
equals the sum of the probabilities of the outcomes in E.
Axioms of
Probability -
