Jonathan Segment 8
The was a very difficult problem. I decided to plot the function 1/x along with the log-normal distribution at different values of standard deviation. Each log-normal plot is normalized to be 1 at x = 1. Obviously it is too difficult to see from the plot so I also decided to report the mean difference between the function 1/x and the normalized (at x = 1) log-normal distribution for a range of increasing standard deviation. As you can see from the Matlab output below, the mean difference between the functions decreases as the standard deviation increases.