Delete examples directory

[OliviaLynn]

Problem & Solution Description (including issue #)

Removing the example notebook as part of LSSTDESC/rail#48

Notebook is now available within the umbrella rail package at https://github.com/LSSTDESC/rail/blob/main/examples/estimation_examples/CMNN_Demo.ipynb

Code Quality

• My code follows the code style of this project
• I have written unit tests or justified all instances of #pragma: no cover; in the case of a bugfix, a new test that breaks as a result of the bug has been added
• My code contains relevant comments and necessary documentation for future maintainers; the change is reflected in applicable demos/tutorials (with output cleared!) and added/updated docstrings use the NumPy docstring format
• Any breaking changes, described above, are accompanied by backwards compatibility and deprecation warnings

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (cf63e27) 100.00% compared to head (41d008d) 100.00%.
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff            @@
##              main       #13   +/-   ##
=========================================
  Coverage   100.00%   100.00%           
=========================================
  Files            1         1           
  Lines          147       147           
=========================================
  Hits           147       147           

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[drewoldag]

Approved!