The world monarch in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one female or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which time they immediately stop? (Presume that all pregnancies have an equal chance of producing a male or a girl.) Write a computer simulation of this problem after you have rationally resolved it.

The world monarch in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one female or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which time they immediately stop? (Presume that all pregnancies have an equal chance of producing a male or a girl.) Write a computer simulation of this problem after you have rationally resolved it.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.6: Unconstrained Maximization And Minimization With Several Variables

Problem 9P

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John is training for a marathon and he can easily alternate between running a mile and walking a mile. If he runs for 2 miles in a row, he becomes fatigued, and must then walk for 2 miles in a row in order to no longer be fatigued. When he is fatigued, he can still alternate between running a mile and walking a mile, but if he runs 2 miles in a row while already fatigued, he will collapse on the side of the road. If he runs 3 miles in a row at any point, he will also collapse. Let the letter 'a' stand for John running 1 mile, and the letter 'b' stand for John walking 1 mile. Draw a DFA which accepts all possible runs in which John does not collapse on the side of the road.
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The world queen in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one daughter or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which point they immediately stop? (Presume that all pregnancies have an equal chance of producing a boy or a girl.) Write a computer simulation of this problem when you have logically resolved it.
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