1.3.16 Consider the generalized geometric distribution defined by

and

where 0 b p=.1????p/.

(a) Evaluate p0 in terms of b and p.

(b) What does the generalized geometric distribution reduce to when b D p?
When b D p=.1????p/?

(c) Show that N D X CZ has the generalized geometric distribution when X is a Bernoulli random variable for which PrfX D 1g D , 0

Pk b(1-p) for k = 1, 2,...,