Summary DISCRETE AND CONTINUOUS RANDOM VARIABLE

LESSON 1: DISCRETE AND RANDOM VARIABLE
 EXPERIMENT

o any procedure that has a well-defined set of possible outcomes

 OUTCOME

o possible results

 SAMPLE SPACE

o the set of all outcomes of a probability experiment

 EVENT

o consists of one or more outcomes of the sample space

 RANDOM EXPERIMENT

o any process used to draw outcomes with the element of randomness

o If it is performed, the outcomes can already be determined, though it’s uncertain to happen

o Outcomes of random experiments have equal probabilities of occurring

 RANDOM VARIABLE

o a function that assigns a numerical value to the outcomes of a random experiment

o May be represented by any uppercase letter in the alphabet, often denoted as X or Y

o May be discrete or continuous

 DISCRETE RANDOM VARIABLE

o takes on a set of distinct possible values

o Possible values are listable

 CONTINUOUS RANDOM VARIABLE

o can take on any value within a specific interval

o Infinite number of possible outcomes

o Usually measurements




SUMMARY:
 EXPERIMENT

o A procedure with defined outcomes.

 OUTCOME

o Possible results of an experiment.

 SAMPLE SPACE

o All potential outcomes of a probability experiment.