Random Variables and Discrete Probability Distributions

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Requirements for a probability distribution for a discrete random variable must be met! • If P(x) P(x) is not not such that 0 ≤ P(x) P(x) ≤ 1 and and ∑ P(x) P(x) = 1 then your table, graph, or formula does not not represent a probability distribution for a discrete random variable. Carefully notice the “and and”!! !! Both conditions must be met!!!
Requirements for a probability distribution for a discrete random variable must be met! • Alternate Alternate Notation Notation –– If P(X = x) is not not such that 0 ≤ P(X = x) ≤ 1 and and ∑ P(X = x) = 1 then your table, graph, or formula does not not represent a probability distribution for a discrete random variable.
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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 discrete rand
Page 9 and 10: Random Variable • A discrete rand
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
Page 57 and 58: Did you notice that each example me
Page 59: Requirements for a probability dist
Page 63 and 64: Did you notice that if the examples
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Page 67 and 68: Notation • For clarity, we will u
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
Page 97 and 98: Raffle Example • Alternate Altern
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Page 105 and 106: Raffle Example • Note: The point
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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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