Question: Show that

1. b(x; n, ) = b( n – x; n, 1 - ) ( Recall that b represents the probability distribution of a random variable with a binomial distribution)
   If we define
   \[B(x;n,\theta )=\sum\limits_{k=0}^{x}{b(k;n,\theta )}\] for x = 0,1,2,…..n, show that
2. b(x; n, ) = B(x; n, ) – B(x-1; n, );
3. b(x; n, ) = B(n-x; n, 1 - ) – B(n- x – 1; n, 1 - );

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