Definition: 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.
Input: 1, 15, ['4569', 'k', 'j', 't', '3735', '1773', 'z', 'b', 'P', '3445', '3491', '8759', 's', '7245', '9405', '3251', 'J', '887', '8975', 'z', '3953']

42422