You have invested in the Amazon's stock. Last week's share prices are given below: Adj Date Open High Low Close Close Volume 21/09/2020 2906.5 2962 2871 2960.47 2960.47 6117900 22/09/2020 3033.84 3133.99 3000.2 3128.99 3128.99 6948800 23/09/2020 3120.43 3127 2992.38 2999.86 2999.86 5652700 24/09/2020 2977.79 3069.3 2965 3019.79 3019.79 5529400 25/09/2020 3054.86 3101.54 2999 3095.13 3095.13 4615200 28/09/2020 3148.85 3175.04 3117.17 3174.05 3174.05 4224200 29/09/2020 3175.39 3188.26 3132.54 3144.88 3144.88 3495800 a) Calculate the average arithmetic return, the variance, and the standard deviation for Amazon based on closing prices. [8 marks] b) Suppose the returns on Amazon are normally distributed. Based on the data above, what range of returns would you expect to see 95 per cent of the time? What range would you expect to see 99 per cent of the time?