Students, for your Python lab $3$ assignment, you will be working with file input and output. Your task is to create a Python program that takes an input file named "students$\_$in$.$txt$,"$ which contains a list of student names in all capital letters, and converts them to lowercase. The output should be saved in a new file named "students$\_$out.txt$."$

Here are the steps you should follow:

Open the "students$\_$in$.$txt$"$ file for reading.

Read the contents of the file.

Convert the names to lowercase.

Create a new file named "students$\_$out.txt$"$ for writing.

Write the converted names to the "students$\_$out.txt$"$ file.