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Respected Tutor, please help me to solve following question, as I am stuck in it, can you please please help to solve and explain following

Respected Tutor, please help me to solve following question, as I am stuck in it, can you please please help to solve and explain following problem???

Let X1 and X2 be independent and identically distributed (i.i.d.) as exponential with rate parameter= 1. Find the joint pdf ofY1 andY2, whereY1=X1+X2 andY2=X1/(X1+X2).

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