Problem Corner

Nick Lord
2013 Mathematical Gazette  
A large population of families is modelled by random variables X and Y, where X is the number of children in a randomly chosen family and Y is the number of brothers and sisters of a randomly chosen child. If X has finite expectation !1 and P (X = r) = P (Y = r) for all r ;> 0, determine the distribution of X. Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.
doi:10.1017/s0025557200005684 fatcat:lufw7f6snrhzhggtxautgdgpgu