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Each member of a population of size n is, independently, female with probability p or male...

Each member of a population of size n is, independently, female with probability p or male with probability 1-p. Let X be the number of the other n-1 members of the population that are the same sex as is person 1.
(a) Find P(X=i), i=0,..,n-1
Now suppose that two people of the same sex will, independently of other pairs, be friends with probability (alpha); whereas two persons of opposite sexes will be friends with probability (beta). Find the probability mass function of the number of friends of person 1.

I cannot handle with the latter question after (a)

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