Lec 09 –Continuous Random VariablesIOE 265 F1111Continuous Random Variables2TopicsI.Continuous Random variablesII.Probability distributions for continuous random variablesIII.Expected values of continuous random variables
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Lec 09 –Continuous Random VariablesIOE 265 F1123I. Continuous Random VariablesDefinition: A random variable (rv) X is said to be continuous if its set of possible values is an entire interval of numbers.Example: suppose Xis an rv representing all values for a diameter between 15 and 20 mm.Or, X could be defined as 15 <= X <= 204Continuous Vs. DiscreteKey issue: if units for X can be subdivided to anyextent continuous; if not discreteMoney - ?Height – ?Practical uses –Although many continuous variables have limitations in the extent in which they may be measured (precision of measuring instrument), we prefer to treat them as continuous.Similarly, some discrete variables also may be treated as continuous.Why? continuous variables often are easier to manipulate.