Example $7\mathrm{.}2.$ Appendix Bcontains a listing of the peak discharges on the Cumberland River at Cumberland Falls. Kentucky. Beginning in $1934$ the data consists of a partial duration series. In this problem only the data from $1934$ through $1970$ are used.

a$)$ Plot the annual series and partial duration series on lognormal probability paper.

b$)$ Plot the "best" fitting lognormal distribution of the annual series on the plot of part a$.$

c$)$ Plot the expected partial duration series frequency distribution on the plot of part a assuming the annual series follows the lognormal distribution.

d$)$ Plot the annual series on normal probability paper. Draw in the "best" fitting normal distribution.

e$)$ Plot the annual serics on extreme value type I probability paper. Draw in the "best" litting extreme value type I distribution.

i$)$ Compute the $100-$year peak flow based on the annual series assuming the data follows the $(1)$ nomial. $(2)$ lognormal$.(3)$ extreme value type $1.(4)$ P'arson type $..$