N, the number of claims random variable, has a mixed distribution formed of:

(i) A binomial (n=2, p=0.5) with mixing weight of 0.3.

(ii) A negative binomial NB (r=4, B=1) with mixing weight of 0.7.

(a) what's the unconditional probability P[N < 2]?

(b) What is the unconditional expected value of N?

(c) What is the unconditional variance of N?

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