Random Variables and Discrete Probability Distributions

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What is the expected prize for our raffle example? • Using our probability distribution, we can calculate the expected prize for someone purchasing one ticket for our raffle.
What is the expected prize for our raffle example? • μX = E(X) = 500(1/1000) + 200(1/1000) + 50(2/1000) + 10(3/1000) + 0(993/1000) = (500 + 200 + 100 + 30)/1000 = 830/1000 = 0.83 • The expected prize for someone buying a ticket for our raffle is $0.83.
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Random Variables and Discrete Proba
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Random Variable • A random variab
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Random Variable • A discrete rand
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Random Variable • A continuous ra
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Probability Distribution for a Disc
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What is the probability distributio
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Did you notice that each example me
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Requirements for a probability dist
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Requirements for a probability dist
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Did you notice that if the examples
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Did you notice that if the examples
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Notation • For clarity, we will u
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Does the table below represent a pr
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Probability Histogram • As with a
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Raffle Example • Although there a
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Raffle Example • Since not not wi
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Page 105 and 106: Raffle Example • Note: The point
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Page 111 and 112: Expected Value for a Discrete Rando
Page 119 and 120: How many Heads should we expect if
Page 125 and 126: What is the expected value for the
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Page 149 and 150: Variance and Standard Deviation for
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Random Variables and Discrete Probability Distributions

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