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RandomVariables+PMF

# RandomVariables+PMF - RV Learning Objectives Define random...

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RV: Learning Objectives Define random variable

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Random Variable Random variable (RV) is a real-valued function of the experimental outcomes Sample space Ω Real number line x Random Variable X Real number line 4 3 2 1 1 2 3 4 1 2 3 4 Sample space: pairs of rolls (of a 4-sided dice) Random variable: X = maximum roll
Example Experiment: toss a coin 5 times RV: the number of heads not RV: the sequence of heads and tails

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Discrete RV A discrete random variable is a real-valued function of the outcome of the experiment that can take a finite or countably infinite number of values
Exercises Exercise #131 Exercise #132

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PMF: Learning Objectives Define probability mass function Set up and use probability mass functions for discrete events
PMF probability mass function (PMF) gives the probability of each numerical value that the random variable can take p X ( x ) = P ( X = x ) x ” is a possible value of the RV named “ X PMF of RV named “

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