Random Variables and Discrete Probability Distributions

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What is the probability distribution for the toss of one fair coin? Using Using the the alternate alternate notation notation Probability Distribution for the Toss of a Fair Coin x P(X = x) Heads ½ Tails ½
What is the probability distribution for the toss of one fair coin? • If we change the point of view from Heads and Tails to the number of Heads then the values of the random variable are numerical. �� Heads becomes 1 since there is one Head. �� Tails becomes 0 since there are zero Heads.
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Page 3 and 4: Random Variable • A random variab
Page 5 and 6: Random Variable • A discrete rand
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Page 17 and 18: Probability Distribution for a Disc
Page 25 and 26: What is the probability distributio
Page 37: What is the probability distributio
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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 and 66: Did you notice that if the examples
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
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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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