Question: solve it properly. I will upvote if answer would be up to the mark. (a) In a random sample of school children, children are examined

solve it properly. I will upvote if answer would be up to the mark.
(a) In a random sample of school children, children are examined for any genetic abnormalities and only those who have at least one abnormality are recorded. The maximum number of abnormalities is n. Any abnormality occurs with constant probability p, irrespective of its type. Let Xi be a random variable denoting the number of abnormalities in the ith recorded children, Obtain P.T.O. 17 4 the p.g.f of Xi, Hence obtain the expected number of abnormalities along with its variance in any of the recorded children. (a) In a random sample of school children, children are examined for any genetic abnormalities and only those who have at least one abnormality are recorded. The maximum number of abnormalities is n. Any abnormality occurs with constant probability p, irrespective of its type. Let Xi be a random variable denoting the number of abnormalities in the ith recorded children, Obtain P.T.O. 17 4 the p.g.f of Xi, Hence obtain the expected number of abnormalities along with its variance in any of the recorded children
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