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.
5, 8, ['7505', '1501', 'c', '945', 'f', '9383', 'o', '7503', 'P', '8947', 'V', 'N', '4387', 'p', 'b', 'q']