Can you guess the pattern? Why does the answer look so much like the Poisson distribution? Suppose

Question:

Can you guess the pattern? Why does the answer look so much like the Poisson distribution?
Suppose T1, T2, T3... are i.i.d. exponentially distributed random variables with λ = 1.0 and that
S,-Σ η Sn

Let fn be the p.d.f. for Sn.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: