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Design a TAIL RECURSIVE function that consumes a list of numbers and produces true if at least half of the numbers in lon are odd. You may assume the list contains at least one item (i.e., not empty). You must NOT use the built-in length function in your solution.;; (listof Number) rightarrow Boolean;; produce true if at least half of the numbers in lon are odd. (check-expect (majority-odd? (list 1)) true) (check-expect (majority-odd? (list 2)) false) (check-expect (majority-odd? (list 1 2 3 4)) true) (check-expect (majority-odd? (list 2 3 4 5 6)) false);(define (majority-odd? lon) false);stub Design a TAIL RECURSIVE function that consumes a list of numbers and produces true if at least half of the numbers in lon are odd. You may assume the list contains at least one item (i.e., not empty). You must NOT use the built-in length function in your solution.;; (listof Number) rightarrow Boolean;; produce true if at least half of the numbers in lon are odd. (check-expect (majority-odd? (list 1)) true) (check-expect (majority-odd? (list 2)) false) (check-expect (majority-odd? (list 1 2 3 4)) true) (check-expect (majority-odd? (list 2 3 4 5 6)) false);(define (majority-odd? lon) false);stub