Exponential families of distributions. Show that the following families of distributions belong to the exponential famil

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Exponential families of distributions. Show that the following
families of
distributions belong to the exponential family in canonical
form:
(a) exponential distributions with PDF given by (4.25),
parameterized by λ;
(b) gamma distributions with PDF given by (4.30), parameterized by
(λ, β);
(c) binomial distributions given by (3.62), parameterized by (n,
p);
(d) negative binomial (Pascal) distributions given by (3.98),
parameterized by (r, p).