Alice has two routes tor travelling to work. Travel times on these routes are normally distributed. - Route A takes on average 60 minutes with a standard deviation of 20 minutes. - Route B takes on average 70 minutes with a standard deviation of 10 minutes. Work starts at precisely 9:00 and Alice does not want to be late. (i) Which route should Alice take if leaving home at 8:00? Justify your answer. [10\%\%] (ii) Which route should Alice take if leaving home at 7.30 ? Justify your answer. [10\%] (iii) At what departure time would both routes be equally likely to get Alice to work by 9.00? [10\%]