hello, first time poster here
I have this homework and I'm stuck in a question, heres the following:
rational formla for peak flow: Q=CIA
C= runoff coefficient
I= averge rainfall inensity
A= drainage are
th pdf of I is:
f(i)=2/3 e^(-2/3), i>=0
At the shopping bypass channel the depth of flow is:
h=KQ^0.6
^means exponent
so questions:
a) Find the comulative dist. F (i) DONE
b) Prove f(i) is a pdf DONE
c) Find the pdf and the comulative distribution of peak runoff Q: f(q) and F(q)
d) Find the pdf and comulative distribtion of teh depth of pea flow in the bypass
e) if C=200 and A=60, find the probability that th peak runoff from a storm is between 2,900 and 4,000
Now, I alread did a) and b) and I know how to do e), but I just can't figure out how to do d) and e)... I was thinking just substituting I into the equation for Q... but I don't think that's right...
any ideas??