Given the task definition and input, reply with output. In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

8, 13, ['i', 'H', '9353', 'u', 'o', '6133', '2815', 'B', 'W', '4383', 't', 'A', 'u', 'L', '5355', '4419', '2837', '2725', 'c', '4295', 'M', '4493', 'V', '7763', '2647']

4383