Random Variables and Discrete Probability Distributions

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Did you notice that if the examples meet the requirements for a discrete random variable??? Check Check each each for for yourself! For each example, the individual probabilities are between zero and one, inclusive, and and the sum of the probabilities is one.
Notation • For clarity, we will use the alternate alternate notation notation in the rest of these slides. �� Reminder: P(X = x) denotes the probability that the value of the random variable X is equal to x
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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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Random Variable • A continuous ra
Page 15 and 16: Random Variable • A continuous ra
Page 17 and 18: Probability Distribution for a Disc
Page 25 and 26: What is the probability distributio
Page 57 and 58: Did you notice that each example me
Page 59 and 60: Requirements for a probability dist
Page 61 and 62: Requirements for a probability dist
Page 63 and 64: Did you notice that if the examples
Page 65: Did you notice that if the examples
Page 69 and 70: Does the table below represent a pr
Page 77 and 78: Probability Histogram • As with a
Page 79 and 80: Raffle Example • Although there a
Page 81 and 82: Raffle Example • Since not not wi
Page 83 and 84: Raffle Example • Next, we determi
Page 89 and 90: Raffle Example • Finally, we comp
Page 91 and 92: Raffle Example Probability Distribu
Page 93 and 94: Raffle Example • We do not need t
Page 95 and 96: Raffle Example • Winnings Winning
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Page 105 and 106: Raffle Example • Note: The point
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Page 109 and 110: Raffle Example • Did you notice t
Page 111 and 112: Expected Value for a Discrete Rando
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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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