On average Edmonton gets 3.3 meters of snow per year, with a standard deviation of 0.5m. Assume that the amount of snow per year follows a normal distribution. (a) (3 marks) Sketch a diagram showing the distribution of the amount of snow falling in Edmonton per year. Include the mean and the standard deviation. (b) (2 marks) Find the probability that in one year Edmonton will get less than 2.9m of snow. (c) (4 marks) In the last four years Edmonton only got on average 2.9m of snow per year. What is the probability that the average amount of snow in Edmonton is less than 2.9m in 4 randomly chosen years?