I am attempting to add discrete uniform distributions to math/distributions.
I have however ran into a type error, I can't fix. Any hints are welcome.

The error:
Type Checker: type mismatch
  expected: Discrete-Uniform-Dist
  given: (discrete-uniform-dist-struct Real Integer) in: ((inst
discrete-uniform-dist-struct Real Integer) pdf sample cdf inv-cdf min max
median a b)


#lang typed/racket
(require math/distributions racket/flonum math/flonum math/base)
(require math/private/distributions/utils)

; from private/distributions/utils.rkt
(define-real-dist: discrete-uniform-dist Discrete-Uniform-Dist
  discrete-uniform-dist-struct ([a : Real] [b : Real]))


(: discrete-uniform : (case-> (->                   Discrete-Uniform-Dist)
                              (-> Integer           Discrete-Uniform-Dist)
                              (-> Integer Integer   Discrete-Uniform-Dist)))
(define discrete-uniform
  (case-lambda
    [()    (discrete-uniform 0 1)]
    [(b)   (discrete-uniform 0 b)]
    [(a b) (let ([a (flfloor (fl a))] [b (flfloor (fl b))])
             (let ([a (flmin a b)] [b (flmax a b)])
               (define pdf      (opt-lambda: ([v : Real] [log? : Any #f])
                                  (let ([p (fl/ 1. (fl+ (fl- b a) 1.))])
                                    (if log? (fllog p) p))))
               (: sample : (case-> (->                 Integer)
                                   (-> Integer (Listof Integer))))
               (define sample   (let ([a (exact-floor a)] [b (exact-floor
b)])
                                  (case-lambda
                                    [() (random-integer a b)]
                                    [([n : Integer])
                                     (let loop ([i 0])
                                       (if (= i n) '() (cons
(random-integer a b)
                                                             (loop (+ i
1)))))])))
               (define cdf      (opt-lambda: ([v : Real] [log? : Any #f]
[1-p? : Any #f])
                                  (let* ([v (flfloor (fl v))]
                                         [p (cond [(fl<  v a) 0.]
                                                  [(fl>= v b) 1.]
                                                  [else     (fl/ (fl+ (fl-
v a) 1.)
                                                                 (fl+ (fl-
b a) 1.))])])
                                    (cond
                                      [log? (fllog p)]
                                      [1-p? (fl- 1. p)]
                                      [else p]))))
               (define inv-cdf  (opt-lambda: ([u : Real] [log? : Any #f]
[1-p? : Any #f])
                                  (let* ([u (flfloor (fl u))]
                                         [u (cond
                                              [log? (flexp u)]
                                              [1-p? (fl+ 1. u)]
                                              [else u])])
                                    (exact-floor
                                     (cond [(<= 0. u 1.) (fl+ a (flfloor (*
u (fl+ (fl- b a) 1.))))]
                                           [else 0.])))))
               (define min      (exact-floor a))
               (define max      (exact-floor b))
               (define median   (delay (exact-floor (fl/ (fl+ a b) 2.))))
               ((inst discrete-uniform-dist-struct Real Integer)
                pdf sample cdf inv-cdf min max median a b)))]))

(define X-dist  (discrete-uniform 1 11))
(distribution? X-dist)

(sample X-dist)

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