[3] Still on Star Trek suppose the five starships of problem (2) can be considered a random sample. The maximum order statistic for that random sample is actually (due to distance being negative) the starship closest to the tractor beam source. The harsh reality? in my own little saga is that if it is drawn with 1/20th an AU the forces will break apart the starship. 

[a] At 10 minutes, what is the probability that the closest ship is doomed? 

[b] Recalling how from past HWs use the distribution function Fx(x) from (1) for distance at 10 minutes along with U(0,1) random numbers to simulate the range between the starship closest to the source and the one furthest away among the 5 starships. Report code and summarized results for 1000 simulations. PROVIDE EXACT R CODE