Let T_1 and T_5 be the time of the first and fifth arrivals in a Poisson process with rate R.

a) Find the conditional density of T_1 given that there are 10 arrivals in the time interval (0,1).
b) Find the conditional density of T_5 given that there are 10 arrivals in the time interval (0,1).
c) Recognize the answers to a) and b) as named densities and find the parameters.

--
thanks!