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Conditional Probability Distribution: Random variable, Probability distribution, Discrete probability distribution, Conditional probability, Continuous probability distribution - Couverture souple

 
9786132659859: Conditional Probability Distribution: Random variable, Probability distribution, Discrete probability distribution, Conditional probability, Continuous probability distribution

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Given two jointly distributed random variables X and Y, the conditional probability distribution of Y given X is the probability distribution of Y when X is known to be a particular value. The concept of the conditional distribution of a continuous random variable is not as intuitive as it might seem: Borel''s paradox shows that conditional probability density functions need not be invariant under coordinate transformations. If for discrete random variables P(Y = y | X = x) = P(Y = y) for all x and y, or for continuous random variables fY(y | X=x) = fY(y) for all x and y, then Y is said to be independent of X.

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