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Mathematics, 19.05.2020 21:05 brooklyns357

A couple plans to have no more than three children, and they will keep having children until they have a girl. So, if their first child is a girl, they will stop and have only one child. However, if their first child is a boy, they will try again and have a second child. As it turns out, the probability of having a boy is slightly greater than having a girl. Here is the probability distribution for the number of boys the couple could have. Boys 0 boys 1 boy 2 boys 3 boys Probability 0.490 0.250 0.127 0.133

What is the expected number of boys the couple will have? (Recall: the expected value is the mean). 0.903 1.5 0.228

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