Let (N(t))t a Poisson process with rate 3 per min. Let Sn denote
the time of the n-th event.
Find a. E[S10]
b. E[S4|N(1) = 3]
c.Var(S10).
d. E[N(4) − N(2)|N(1) = 3].
e. P[T20 > 3].