Suppose that the continuous random variable

**T**has the Exponential distribution with expected value 4. Given that

**T = t**, for any t > 0, the discrete random variable

**S**has the Poisson distribution with expected value 3t.

Find:

a) E(S)

b) Var(S)

Can you help me out with this one? I struggle to find the answer, but i know its relatively easy .. Thank you.