Question 1 [15 marks] The coaching staff of a basketball team is facing a conundrum regarding the number of minutes their star player, Reynold. should play each game. If Reynold plays the entire game lie, the full 48 minutes), he tends to tire towards the end of the game which negatively impacts the team's overall performance. On the other hand, if Reynold doesn't play enough and rests for too many minutes on the bench, then the team struggles to score points and their overall performance also suffers. To better understand how they should manage the number of minutes Reynold rests each game, the coaching staff have analysed data from all of his previous games. Letting Xdenote the number of minutes Reynold rests on the bench in any given game, the coaching staff believes that the distribution ofX is best described by the probability density function given below. Further, they believe that the number of minutes Reynold rests is independent from game to game. +%, Ergo-