a) Find the sample mean and sample standarddeviation for each column (called the empirical results) and complete the following table. Please note that the standard deviation of an exponential distribution is the same as the mean. (6 marks) Mean Standard Deviation Variable Theoretical Empirical Theoretical Empirical Shape X (population) LL = O= X with n = 5 Hy = OX = Right skewed X with n = 100 HX = OX Roughly n normal b) Draw a histogram for each column, and commenton the centre, spread (variation), and shape of the distributions. (6 marks)