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 zollen February 4th, 2019 02:53 PM

Let X be a random variable with values a, b, c, d and let Y be a random variable with values p, q, r with the joint distribution shown in the following table

Code:

      a      b      c      d p | 0.2  | 0.05 | 0.02 | 0.03 q | 0.01 | 0.04 | 0.08 | 0.07 r  | 0.1  | 0.3  | 0.04 | 0.06
What is Ent(X, Y)?

$\displaystyle Ent(X, Y) = - \sum\limits^{b,c,d}_{n=a} ~\sum\limits^{q,r}_{m=p} ~ ( P(X=n, Y=m) \cdot \log(P(X=n, Y=m) )$

 romsek February 4th, 2019 02:59 PM

yes,

though they probably want you to plug and chug the numbers.

 zollen February 4th, 2019 02:59 PM

Thanks. Master romsek.

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