Random Variables and Discrete Probability Distributions

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Random Variable • A continuous random variable has an infinite number of values. • Examples: �� The weight, in pounds, for the amount of red seedless grapes that you buy while shopping at Stop Stop & & Shop Shop
Probability Distribution for a Discrete Random Variable • A probability distribution for a discrete random variable X is a table, table, graph, graph, or formula formula that specifies the probability associated with each possible value of the random variable.
Page 1 and 2: Random Variables and Discrete Proba
Page 3 and 4: Random Variable • A random variab
Page 5 and 6: Random Variable • A discrete rand
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Page 13 and 14: Random Variable • A continuous ra
Page 15: Random Variable • A continuous ra
Page 19 and 20: Probability Distribution for a Disc
Page 25 and 26: 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
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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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