Given an initial distribution of p(x)= z exp(-zx), with z = 0.2 and an uncertainty term with a standard deviation of 2., compute the effect of adding the uncertainty on estimates for return periods of 10, 50, 100 and 500 years. Show your results for the probability densities in a table before adding uncertainty and after addition uncertainty. Similar to the worked example in class, you can simplify to only consider "diffusion" to one cell to either side of integer increments for the range from the 10-year to 500-year values.