Please show work

Question 5 (8 marks) The following project has three independent paths as shown in the project network diagram. The deadline to complete this project is 46 days. Most Optimistic Likely Pessimistic Expected Variance Activity Time Time Time of Time (days) (days) (days) (days) Activity Start A 10 16 28 B End B 20 28 42 C 18 30 42 E F 14 D 15 15 15 E 1 2 3 42 45 48 a) What is the probability that this project will be delayed? b) What is the probability that activity F alone will take between 44 and 46 days