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Category > Statistics Posted 02 Aug 2017 My Price 4.00

A couple decides to keep having children until they have at least one boy and at least one girl

A couple decides to keep having children until they have at least one boy and at least one girl, and then stop. Assume they never have twins, that the “trials” are independent with probability 1/2 of a boy, and that they are fertile enough to keep producing children indefinitely. What is the expected number of children?

 

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Alpha Geek
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Status NEW Posted 02 Aug 2017 02:08 PM My Price 4.00

Eac-----------h c-----------han-----------ce -----------of -----------get-----------tin-----------g m-----------ale----------- ch-----------ild----------- or----------- fe-----------mal-----------e c-----------hil-----------d i-----------s i-----------nde-----------pen-----------den-----------t o-----------f t-----------he -----------oth-----------er -----------tri-----------als-----------. A-----------lso----------- th-----------ere----------- ar-----------e o-----------nly----------- tw-----------o o-----------utc-----------ome-----------s, -----------boy----------- or----------- a -----------gir-----------l. -----------P(B-----------) =----------- 1/-----------2 a-----------nd -----------P(G-----------)

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