Show that the following probability density functions are members of the exponential class of densities: (a) Binomial

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Show that the following probability density functions are members of the exponential class of densities:

(a) Binomial family, for a fixed value of \(n\).

(b) Poisson family.

(c) Negative binomial family for a fixed value of \(r\).

(d) Multinomial family, for a fixed value of \(n\).

(e) Beta family.

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