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In every generation of a dynasty, the number of children born is X iidpoisson ()For each child
born, one can think of the event of them surviving to have children of their own is X
iidbernulli(p) what is the distribution of the number of children one has that survive to have
theirown children? What is the distribution of the number of grandchildrenone has?
Solution
what is the distribution of the number of children one has that survive to have their own
children?
bernoulli, it is bernoulli because one can think of the event of them surviving to have children of
their own
What is the distribution of the number of grandchildren one has?
poisson
it is poisson distribution because In every generation of a dynasty, the number of children born is
a poiison distribution

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In every generation of a dynasty, the number of children born is X i.pdf

  • 1. In every generation of a dynasty, the number of children born is X iidpoisson ()For each child born, one can think of the event of them surviving to have children of their own is X iidbernulli(p) what is the distribution of the number of children one has that survive to have theirown children? What is the distribution of the number of grandchildrenone has? Solution what is the distribution of the number of children one has that survive to have their own children? bernoulli, it is bernoulli because one can think of the event of them surviving to have children of their own What is the distribution of the number of grandchildren one has? poisson it is poisson distribution because In every generation of a dynasty, the number of children born is a poiison distribution