Question

Denve gru) we want t fnd the denty of U. twe can otan Huss b indi the malythalt s trom the Jeut detyb ao U and V.uce, the marth gi) above

Answer 1

In order to find the marginal p.d.f. of U, we need to integrate the joint p .d.f. of U&V over the support of v 3,(-) = 5 x(u, v) dv * Í H*"() 3 metres) av + 5* ***** Sinida = fx dx for a70 Inldre sonde for a co Jielde jandar Jude * Jamida - jcos de ejerceros, acess] Ocvco >> OSZLO -Doa uzo » o<z«o Let zer² =) dz = zudu udvaldz Substituting z we get jetonta partem • tect) Dec , 14(4) 542c0.

[ sem dosta on ] (1) [: .0m**) ***) 40tommaso ***(+)( **) 414201 ** **(13 ) Now substituting me in place of z Now, eºs!, e o ) (1)( )(49 ta (1) ) *(?) ) te att 20 u²+1 2 2A (u²+1) aut ) Un CAUCI)