Final answer:
The worst case running time for insert and append is O(n), while the worst case running time for __getitem__, pop, remove, count, and index is O(n).
Step-by-step explanation:
In Python, the built-in list uses a dynamic array implementation, which allows for efficient insert and append operations. The worst case running time for insert and append is O(n), where n is the number of elements in the list.
The __getitem__ operation, which is used to access an element at a specific index, has a worst case running time of O(1), as it directly retrieves the element based on the index.
The pop operation, which removes and returns an element at a specific index, has a worst case running time of O(n), as it needs to shift elements after the removed index.
The remove, count, and index operations all have a worst case running time of O(n), as they may need to iterate through the list to find the desired element or count the occurrences of an element.