Advanced Placement (AP)

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A couple decides to keep having children until they have a girl, at which point they will stop having
children. They also agree to having a maximum of three children. The table below shows the probability
distribution of X = the number of children such a couple would have.
i
2
3
X = # of children
PX)
0.5
0.25
0.25
Given that ux = 1.75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
OX
children
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