Random Variables and Discrete Probability Distributions

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What are the expected winnings for our raffle example? Probability Distribution for the Winnings, in dollars, for a Person who Buys One $1-Raffle $1 Raffle Ticket for a Raffle for which One-Thousand One Thousand Tickets are Sold x P(X = x) 499 1/1000 199 1/1000 49 1/500 9 3/1000 -1 993/1000
What are the expected winnings for our raffle example? • Using our probability distribution, we can calculate the expected winnings for someone purchasing one ticket for our raffle.
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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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Raffle Example • Next, we determi
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Raffle Example • Next, we determi
Page 87 and 88: Raffle Example • Next, we determi
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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
Page 131 and 132: What is the expected prize for our
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Page 143 and 144: For our raffle example, can we use
Page 149 and 150: Variance and Standard Deviation for
Page 151 and 152: What is the standard deviation for
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Random Variables and Discrete Probability Distributions

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