Let X1, . . ., Xn be a random sample

Let X1, . . ., Xn be a random sample from a G(1, β) distribution.
(a) Show that
Let X1, . . ., Xn be a random sample

is a sufficient statistic for β.
(b) The following is a random sample from a G (1, β) distribution.

Let X1, . . ., Xn be a random sample

Find a sufficient statistic for β.

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