Problem 1: To download the software I have prepared for this class, visit this website: https://vanderbei.princeton.edu/stackimg.html (Bino's version... https://orfe.io/stackimg.html) If your computer is a Mac, follow the steps for "macOS". If your computer is a Windows machine, follow the steps for "Windows". Follow the steps down to where you open the "GetFit" app. A window called "Download Astro Fits Files" will pop up on your screen. In the textfield labeled "Website:" type https://vanderbei.princeton.edu/fits_files In the "File list:" textfield, enter the name of the file you are going to download. If you are Colin Baird, the file name you should enter is ic5070.fit. Each of you need to enter the appropriate file name as given in this list... Colin Baird: ic5070.fit Olivia Caponiti: m57.fit Dylan Conard: ic434.fit Samuel Hilbert: ngc7293.fit Julian Hough: ngc6888.fit Daniel Pellegrin: ngc1977.fit Ryan Salik: m51.fit Tigran Sennett: m42.fit Lukas Smolskas: m27.fit Ottilie Sykes ngc2238.fit Andrew Wang: m13.fit Winni Yang: m16.fit Anybody: ngc7048.fit Anybody: m17.fit Anybody: m8.fit Then click on the "Download to:" button to select/create a folder where you'd like your file to be downloaded. Then click on "Download Files" to do the download. Once your image is downloaded, you can close this window. Next, follow the steps shown to "Run StackImages". A new window called "Align, Stack, Show" will pop up. Over the next several weeks we will use this tool for many things. For today's assignment, just click on the "Select" button next to "Open an RGB fits file". Navigate to the folder to which you downloaded your image file and select your image and click "Open". Another (much larger) window called "Figure 1" will pop open and you'll see your image on display. There will appear four slider bars below the image. You can tinker with them to change the visual appearance of your image. You can make it brighter or dimmer or more or less colorful. It's fun to play with these slider bars. When you are happy with what you see, click the "Save" button to save the image in "png" format in the same folder that contains the original file. Upload the saved png file to Canvas as your solution to this week's homework. FINAL NOTE: When you're done and you close the Terminal window, the BobsAstro environment will be deactivated. When you want to do some new stuff working again with BobsAstro and you open a new Terminal window, you'll need to type the following command to reactive the environment... conda activate BobsAstro That's all you need to do. You can start running pythonw again. Problem 2: Astronomers estimate that there are at least 100 billion (100,000,000,000) galaxies in the visible universe. And, while they are distributed randomly, they are not clustered more in some direction and less in other directions. Rather, there are about the same number no matter which way we look in the sky. So, let's consider a typical picture one might take through a telescope. It fairly common for the rectangular shape of such a picture to be span about 1/2 degree (30 arcmin) on the long side and 1/3 (20 arcmin) degree on the short side. If the entire night sky has 100 billion galaxies, how many would you expect there to be in a single picture taken through a telescope as described above?