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: 2, 8, ['g', '2353', '9333', 'j', 't', '5133', 'T', 'Q', '3087', 'P', 'c', 'x', 'j', 'y', 'J', '8181', 'r', 'I', '4903', '3447']

16819