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The Mighty Ducks reign supreme in their minor hockey league, scoring an average of 4.18 goals per game. Suppose the number of goals scored per game is a normally distributed random variable and the population standard deviation is 0.53 goals per game. a. What is the probability of the Mighty Ducks scoring more than 5 goals a game? Include a well labelled sketch of the curve. [3 marks] b. The Mighty Ducks are playing a series of 6 road games in the next two weeks. Determine the probability they will score an average of 4.49 to 4.64 goals per game during this road series. Include a welllabelled sketch of the curve. [4 marks]