Two ships are in a race across the sea, a distance of 10,000 km. The Magellan relies solely on its sails, averaging 8 kph on days when the wind is blowing. The Wrangler uses a combination of sails and a solar powered engine. Due to the extra weight, the Wrangler has an average speed of 6 kph on windy days (using sails), and 5 kph on sunny days (using its engine). It cannot use both at the same time. For both boats, the wind is blowing 75% of the time, while sunny days occur 70% of the time, with no correlation to one another. Both ships are operational 24 hours a day. a. Using a calculation or model you have designed, demonstrate who is expected to win the race and by what margin. [4 marks] b. Using a simple stochastic simulation, make a plot of the distance between the boats over time, from start to finish. [4 marks] c. If one were to run the simulation 100 times, roughly what percentage of the time does Magellan win the race