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Bivariate Distribution

The Bivariate distribution shows the joint probability distribution of two random variables.

Suppose that the position of the center of a hole can vary in both the 'x' and 'y' directions and that the distribution of the center position in both the 'x' and 'y' directions conforms to a normal distribution.

The bivariate probability distribution would be a three dimensional surface showing the probability of the center of a hole being in any position in the x-y plane. This surface would allow you to solve problems such as calculating the probability of a hole center being one standard deviation in 'x' and 2 standard deviations in 'y' from the mean position.

The shape of the surface depends on the standard deviation in the 'x' and 'y' directions, and whether the values of x and y are correlated.

 MiC Quality offers online courses, including two courses in Statistics, the Primer in Statistics and the Advanced Statistics Course. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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