Homework 19. Due Wednesday, Dec.2, 2009. ======================================== Access the data "geyser" included as part of the R library MASS. It is a data-frame with two components, "waiting" (the 299 times in minutes between successive eruptions of the Old Faithful geyser in Yellowstone park) and "duration" (the eruption times, also in minutes). (i) Create a scaled relative-frequency histogram for the geyser$waiting dataset. Over-plot two kernel density estimators, with your choice of probability density as kernel: one with bandwidth = 0.5, and one with bandwidth b=3. (ii) Fit a mixture of log-normal densities, with 2 or 3 components, to the geyser$waiting values by maximum likelihood. Compare visually the quality of fit with the density estimates you calculated in (i).