This question is specifically for installing version 3.6 of python. Not any other versions.
I'm using aws'amazonlinux docker image and trying to install python3.6 on it. It worked less than a month ago simply using yum install python3.x86_64, but now it seems that all python3 versions are using python3.7 as shown below:
bash-4.2# sudo yum list | grep python3
python3.i686 3.7.4-1.amzn2.0.3 amzn2-core
python3.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-Cython.x86_64 0.27.3-2.amzn2.0.2 amzn2-core
python3-debug.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-devel.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-libs.i686 3.7.4-1.amzn2.0.3 amzn2-core
python3-libs.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-lit.noarch 0.7.1-1.amzn2.0.1 amzn2-core
python3-openmpi.x86_64 4.0.1-11.amzn2.0.1 amzn2-core
python3-pip.noarch 9.0.3-1.amzn2.0.1 amzn2-core
python3-rpm.x86_64 4.11.3-40.amzn2.0.3 amzn2-core
python3-rpm-macros.noarch 3-23.amzn2 amzn2-core
python3-setuptools.noarch 38.4.0-3.amzn2.0.6 amzn2-core
python3-test.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-tkinter.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-tools.x86_64 3.7.4-1.amzn2.0.3 amzn2-core
python3-wheel.noarch 0.30.0a0-9.amzn2.0.3 amzn2-core