Let p(j | M, N, n) be the hypergeometric probability function given in XXXXXXXXXXVerify the following relationships:                                p(j |M, N, n) = p(j | n, N, M )...

Let p(j | M, N, n) be the hypergeometric probability function given in (11.5.7). Verify the following relationships:

                               p(j |M, N, n) = p(j | n, N, M )

                                                       = p(n − j | N, N − M, n)

                                                       = p(M − j | N, M, N − n)

                                                       = p(n − N + M + j | N, N − M, N − n).