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.

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thanks!