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CS70: Satish Rao: Administration. I Midterm regrades requests taken until Friday after lecture. (Watch piazza!) I Anyone lose a water bottle from midterm?

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CS70: Satish Rao: Lecture 22. 1. Random Varianbles. 2. Distributions. 3. Expectation 4. Linearity of Expectation
Questions about sample space... Experiment: roll two die.

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) }
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips?

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically?
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins.

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T }
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses?

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically?
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically? Experiment: choose a random student in cs70.

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically? Experiment: choose a random student in cs70. Sample Space: { Adam , Jin , Bing ,..., Angeline }
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically? Experiment: choose a random student in cs70. Sample Space: { Adam , Jin , Bing ,..., Angeline } What midterm score?

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Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically? Experiment: choose a random student in cs70. Sample Space: { Adam , Jin , Bing ,..., Angeline } What midterm score? typically?
Questions about sample space... Experiment: roll two die. Sample Space: { ( 1 , 1 ) , ( 1 , 2 ) ,..., ( 6 , 6 ) } How many pips? typically? Experiment: flip 100 coins. Sample Space: { HHH ··· H , THH ··· H ,..., TTT ··· T } How many heads in 100 coin tosses? typically?

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