probability - r = x*y + n need other suggestions

[Etsh]

probability

hi all

r = x*y + n

x , y ,n normal distribution with zero mean and segma1^2 ,segma2^2 , segma3^2

the requirement is P(r/x)??

can anyone offer suggestions for this???

 

[Etsh]

probability

ok no one answer

so i will put wt i reach

that when i need p(r/x) so x yield to be constant so p(r/x) will be constant multiply in dist of b plus dist of n

but wt is p(r)???this will be two r v multiplication