3 xy² be a joint probability density function over the range 16 0≤x≤ 2 and 0 ≤ y ≤ x. Determine the conditional probability density functions fy|x of Y given by X = 1, 1 and fx\y of X given by Y = 3. Let f(x, y): =

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Example 21
Let f(x, y):
=
3
xy²
16
-xy² be a joint probability density function over the range
0 ≤ x ≤ 2 and 0 ≤ y ≤ x. Determine the conditional probability density functions
fy|x of Y given by X = 1, 1 and fx\y of X given by Y = 3.
4
Transcribed Image Text:Example 21 Let f(x, y): = 3 xy² 16 -xy² be a joint probability density function over the range 0 ≤ x ≤ 2 and 0 ≤ y ≤ x. Determine the conditional probability density functions fy|x of Y given by X = 1, 1 and fx\y of X given by Y = 3. 4
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