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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
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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
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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
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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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