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Exercise 6.17. Let U and V be independent, U Unif(0,1) and V~ Gamma(2, x) which means that V has density function v0 and zero elsewhere. Find the joint density function of (X, Y) (UV, ( 1-U) V). Identify the joint distribution of (X.Y) in terms of named distributions. This exercise and Example 6.44 are special cases of the more general Exercise 6.50. fv (v-λ-e-Av for

Please show both joint density function of (X,Y) and the name of the distribution.

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V Gamma(2a) 2424 ay No to Atso 4y) X70 eselt paha meren

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