Write out complete answers, including fully specified algorithms and all numbers filled in the various vectors and matrices, to all questions. Also provide actual numbers for all questions. Use MATLAB for doing your calculations unless you really enjoy doing arithmetic and matrix manipulations by hand. Make sure to Snip & Paste MATLAB output for any numerical answers for which you used MATLAB. To get credit for an answer you must show your work not just write down a numerical answer without explanation of how you got that answer.

2. The broad-footed mole (Scapanus latimanus) habitat problem (40 total points) Hone Tuesday, October 21, 2014 11:50 AM field 24 30V Woods 17 $10,11 Stream Figure 1: Brond-Footed Mole tracking map The habits of the brond-footed mole are being studied by the USDA Forest Service. A biologist attached a tiny transmitting radio to the ear of a broad-footed mole when sedated - the mole, not the biologist - so that the mole's movements could be tracked. The mole was then released the into its natural territory, Recording the movements of the mole continuously over several hours, the biologist found that it followed the path shown in the map below, where the points represent mole locations at 15-minute intervals and the lines show the actual path taken by the mole. Notice that if there is a comma between two numbered points then the mole stayed in that location for two consecutive 15-minute intervals (for example, "10, 11" or "15, 16" or "1,2"). (c) (10 points): Use your model to find the pmf and put it into a bar chart (4 points), mean (3 points) and variance (3 points) of the time in minutes) that the mole would spend before getting water from the stream from the time that it eats some wild berries in the woods. Provide an algorithm to compute the solution, being careful to fully define all variables. Use MATLAB to compute actual numerical values. For this problem do not use the laborious simultaneous linear equations approach. 2. The broad-footed mole (Scapanus latimanus) habitat problem (40 total points) Hone Tuesday, October 21, 2014 11:50 AM field 24 30V Woods 17 $10,11 Stream Figure 1: Brond-Footed Mole tracking map The habits of the brond-footed mole are being studied by the USDA Forest Service. A biologist attached a tiny transmitting radio to the ear of a broad-footed mole when sedated - the mole, not the biologist - so that the mole's movements could be tracked. The mole was then released the into its natural territory, Recording the movements of the mole continuously over several hours, the biologist found that it followed the path shown in the map below, where the points represent mole locations at 15-minute intervals and the lines show the actual path taken by the mole. Notice that if there is a comma between two numbered points then the mole stayed in that location for two consecutive 15-minute intervals (for example, "10, 11" or "15, 16" or "1,2"). (c) (10 points): Use your model to find the pmf and put it into a bar chart (4 points), mean (3 points) and variance (3 points) of the time in minutes) that the mole would spend before getting water from the stream from the time that it eats some wild berries in the woods. Provide an algorithm to compute the solution, being careful to fully define all variables. Use MATLAB to compute actual numerical values. For this problem do not use the laborious simultaneous linear equations approach