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What is this called?
- Random vector
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Given the joint distribution, you can find any marginal information that you want
T/F
True
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Given marginal information, you cannot calculate the joint unless...?
They are independent
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What are the two most commonly used measures of association between random variables?
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What is the covariance computing formula?
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Why is covariance difficult to interpret compared to correlation?
- Covariance has units, so interpretation is difficult
- Correlation is unitless
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What is indicated when ?
then X and Y are uncorrelated (Not Independent!!!)
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What is the value of ρ when X and Y are independent?
(Alternately, If given rho=0, it translates to X and Y being uncorrelated, not independent!)
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What is the range of correlation?
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What does this indicate?
an exact linear relationship
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When it reasonable to use a binomial distribution when a hyper-geometric distribution would normally otherwise be considered?
When sample size is small relative to our population size
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point mass
A probability distribution with unity probability mass at one specific outcome, and zero probability mass everywhere else
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A binomial distribution can be represented by a ___?____ when n is large
Poisson
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