It is a query from my college record:

”
8. Let {x1, x2, …, xn} be statistically impartial and identically distributed random variables, every with an exponential likelihood density operate of parameter 1, that’s,

density likelihood operate X

Let n be a discrete random variable statistically impartial of every x_i, with a likelihood density operate given by

density likelihood operate n

Set the random variable

random variable y definition

the place, by definition, y = Zero if n = 0. Decide:

a) the attribute operate My (v);
“

Nevertheless, I can not clear up this downside downside, I discovered this resolution:

Answer that I’ve discovered

I do not know easy methods to remove the random variable “n” from the equation and get a expression that solely relies on from v(My(v)). Might somebody assist me easy methods to full the fixing of this downside???