I installed Android Studio (1.5.1 - see image for assembly details). 
During installation, I selected a custom option to set a specific path. I knew that my% SystemDrive% was located in a network location, and I wanted to install it on a local drive.
So this means that by default the application would install: \ networkPath \ Users \ MyUserName \ Android \ SDK
However, since I selected a custom installation, I chose the local path: C: \ Users \ MyUserName \ Android \ SDK
Creation and construction of the Fine project
Everything seemed fine, and I was able to create a new project and create it without any problems.
However, when I tried to run the built, and then basically failed silently. The emulator never appeared and no errors occurred. Android Monitor simply displays a message stating that No Connected Device is detected. AVD Manager
Fortunately, I knew a little about checking what happened to the emulator, and I opened AVD Manager. The specified device displays an error. I right-click on the device and select View Details. This is when the AVD manager showed that it was trying to read from the network path, although I changed it in a custom installation. \ networkPath \ Users \ MyUserName \ Windows.android \ AVD \ Nexus4.avd as well as \ networkPath \ Users \ MyUserName \ Windows.android \ AVD \ Nexus4.ini
Registry Editing
I closed Android Studio. Then I opened regedit and edited the values ββat: HKLM \ SOFTWARE \ Microsoft \ Windows NT \ CurrentVersion \ Profile List which initially looked like this: 
And change them so that they all point directly to the c: \ drive (instead of% systemdrive%)
Environment variable: ANDROID_SDK_HOME
I found that others mentioned the ANDROID_SDK_HOME environment variable, and I noticed that my machine does not have this value, so I added it and set it like this: C: \ Users \ MyUserName \ Android \ SDK
Then I launched Android Studio again and launched AVD Manager. There were no devices this time, but instead, AVD Manager asked me to create it with the following window: 
Now I try to download one of the devices with the Google APIs, but every time I do this, they download and install successfully, but then disappear from the list. Note that in the following image, API level 15 or 16 APIs are not available for weapon architecture.

Please note that there is one specified for API level 17 with a handle. Now I will try to install it.

You can see that it has successfully downloaded and installed correctly. Now I click the [Finish] button. The item no longer appears in my list. 
An API level 15 element is automatically selected. I guess, because that one was downloaded initially when I installed Android Studio.
Finally, if you uncheck the [] show box of downloadable system images, which is terribly confusing - and I assume that you show the ones you have already downloaded, then you will see that it shows only one Level 15 Virtual Appliance API. 
This is terrible. Has anyone seen this problem? Could anyone else fix this?
I assume that I just need to go and perform a complete reinstall of Android Studio.