In a stochastic process the number of customers which are arriving at a
server (during a time intervall) is desribed by a Poisson distribution:

P(n)=exp(-v) * (v^n)/(n!)

Each arriving customer has a task to be carried out of which the size (in
units) is described by a lognormal distribution:

f(u)= exp(-(ln u)^2 / (2*a^2)) /  (u*a*SQRT(2*PI))

Question: What is the total number of units (i.e.  size of all tasks)
requested during the time intervall ?

I wonder how these distributions can be concatenated, and if there is a
formula for this.

Thanks for any help!

Jacek Gomoluch







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