Problem

A certain community is composed of mfamilies, ni of which have i children,  If one of the...

A certain community is composed of mfamilies, ni of which have i children,  If one of the families is randomly chosen, let X denote the number of children in that family. If one of the  children is randomly choosen, let Y denote the total number of children in the family of that child. Show that E[T] ≥ E[X].

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