Let V denote rainfall volume and W denote runoff volume (both in mm). According to the article Runoff Quality Analysis of Urban Catchments with Analytical Probability Models (J. of Water Resource Planning and Management, 2006: 414), the runoff volume will be 0 if V d and will be k(V d ) if V d . Here d is the volume of depression storage (a constant) and k (also a constant) is the runoff coefficient. The cited article proposes an exponential distribution with parameter for V. a. Obtain an expression for the cdf of W. [Note: W is neither purely continuous nor purely discrete; instead it has a mixed distribution with a discrete component at 0 and is continuous for values w 0.] b. What is the pdf of W for w 0? Use this to obtain an expression for the expected value of runoff volume. T

Exam 3 worksheet TYPES OF ARCHAEA Type Distinguishing features Where are they Can they be found in found food If so, what foods Acidophiles - have strong cell membranes with ether bonds to withstand heat -Have heat stable enzymes Wetlands, swamps, trash and garbage dumps Sauerkraut Soy sauce Any high saline foods List all important features covered in class for gram positive and gram negative bacteria below. gram positive gram negative Groups of Proteobacteria: Group Where is it found Associated with Effect on humans E. Coli Wolbachnia Heliobacter Pylori Yersinia Pestis Aquatic Protists Name Autotrophic Also known Attached examples Distinguishin or as g fatures heterotrophic Mixotroph Attached forms live Red tide in mutualistic bioluminescence relationship with coral Green Algae Important for O2 Have frustules Floating plants Chemoautotr Have 1 oph flagella and are highly mobile Water molds Kelp Have fronds and a holdfast Rhodophid a