Random Variables and Discrete Probability Distributions

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Random Variable • A discrete random variable has either a finite number of values or a countable number of values. • Examples: �� The number of times a fair coin lands tail side up when the coin is tossed five times
Random Variable • A discrete random variable has either a finite number of values or a countable number of values. • Examples: �� The sum of the numbers displayed on the top faces of a pair of fair dice
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Page 3 and 4: Random Variable • A random variab
Page 5: Random Variable • A discrete rand
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Page 11 and 12: Random Variable • A continuous ra
Page 17 and 18: Probability Distribution for a Disc
Page 25 and 26: 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 • Finally, we comp
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Raffle Example Probability Distribu
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Raffle Example • We do not need t
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Raffle Example • Winnings Winning
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Raffle Example • Alternate Altern
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Raffle Example • Combining this i
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Raffle Example • Note: The point
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Raffle Example • Did you notice t
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Raffle Example • Did you notice t
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Expected Value for a Discrete Rando
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How many Heads should we expect if
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What is the expected value for the
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What is the expected prize for our
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What are the expected winnings for
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For our raffle example, can we use
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Variance and Standard Deviation for
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What is the standard deviation for
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Variance and Standard Deviation for
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Random Variables and Discrete Probability Distributions

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