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lec-29 - Administration 1 Midterm 2 Wednesday November 9th...

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Unformatted text preview: Administration 1. Midterm 2, Wednesday, November 9th. 8-10PM, 155 Dwinelle. 2. HKN Midterm Review, Sunday, November 6th, 2-4, 306 Soda. (Can someone confirm?) 3. Midterm Review, Sunday, November 6th. 5-7PM, 155 Dwinelle. 4. Extra office hours: Tuesday, November 8th, 4-9PM, 310 Soda. CS70: Satish Rao: Lecture 28. 1. Joint Distributions Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Roll two die: Outcome: ( x , y ) . Result of both rolls! X is value of first. Y is value of second. Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Roll two die: Outcome: ( x , y ) . Result of both rolls! X is value of first. Y is value of second. Choose a person at random: X is height. Y is weight. Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Roll two die: Outcome: ( x , y ) . Result of both rolls! X is value of first. Y is value of second. Choose a person at random: X is height. Y is weight. Binomial: flip n coins. X i : “indicator” random variable for heads on coin i i.e., X i = 1 if i th coin is heads, 0 otherwise. Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Roll two die: Outcome: ( x , y ) . Result of both rolls! X is value of first. Y is value of second. Choose a person at random: X is height. Y is weight. Binomial: flip n coins. X i : “indicator” random variable for heads on coin i i.e., X i = 1 if i th coin is heads, 0 otherwise. What is distribution of these random variables? Multiple Random Variables. Experiment: Outcome: ω Variables: X ( ω ) and Y ( ω ) . Roll two die: Outcome: ( x , y ) . Result of both rolls! X is value of first. Y is value of second. Choose a person at random: X is height. Y is weight. Binomial: flip n coins. X i : “indicator” random variable for heads on coin i i.e., X i = 1 if i th coin is heads, 0 otherwise. What is distribution of these random variables? Distribution of X and distribution of Y . Multiple Random Variables. Choose a person at random: X is height. Y is weight. Multiple Random Variables. Choose a person at random: X is height. Y is weight. Distribution of X and Y are fine..but Multiple Random Variables. Choose a person at random: X is height. Y is weight. Distribution of X and Y are fine..but if someone is taller, might s/he be heavier? Multiple Random Variables. Choose a person at random: X is height. Y is weight. Distribution of X and Y are fine..but if someone is taller, might s/he be heavier? Binomial: flip n coins. X i : “indicator” random variable for heads on coin i i.e., X i = 1 if i th coin is heads, 0 otherwise. Multiple Random Variables....
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lec-29 - Administration 1 Midterm 2 Wednesday November 9th...

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