The USS Enterprise is caught in a 2-dimensional rift in space. To explore the space around them, they plan to make two space-hops of a fixed length 1 (light-year) but with random uniformly chosen angles in [0,2?). Commander Data is doubtful that the search space will be uniformly covered this way. Carry out a simulation study to confirm or contradict Data's doubt. Provide code and plots to justify your findings.

\f7. The USS Enterprise is caught in a 2dimensional rift in space. To explore the space around them, they plan to make two spacehops of a xed length 1 (lightyear) but with randOm uniformly chosen angles in [0, 27r). Commander Data is doubtful that the search Space will be uniformly covered this way. Carry out a simulation study to conrm or contradict Data's doubt. Provide code and plots to justify your ndings. Figure 1: The enterprise explores space