Could you please provide me with answer for b and c, and explain how you got your answer. I think it's a binomial distribution, but I am struggling to get my variables right.

Thanks

Question 3 [12 marks] Suppose the number of hours that Dirk works productively on any given day is uniformly distributed between 0 and 2.4 hours. Assume the number of hours that Dirk works productively is independent from day to day. I..\\ f\") mambo] If l\\:-l, "nu-In\"! n.....l....t:\".'l.. F.\"- "nn... 4'\"... n... L\"... huh." 44...! Hun \"NJ. (c) [3 marks] Dirk wants to get a. good start to the upcoming 5-day week (Mon - PH), so on both Monday and 'l'uesday, Dirk plans to work productively for twice as long as he normally would on any given day. Find the variance of the total number of hours that Dirk works productively over the upcoming 5-day week (Mon - I'l'i). :b) [3 marks] Over the next 2 days, find the probability that the most amount of time Dirk worked productively on a day was more than 1.62 hours. _'l__A.!___