1. Show that the following families of distributions are one-parameter exponential families:

(a) X ∼ b(n,p).

(b) X ∼ G(α,β), (i) if α is known and (ii) if β is known.

(c) X ∼ B(α,β), (i) if α is known and (ii) if β is known.

(d) X ∼ NB(r;p), where r is known, p unknown.