Thomas Laetsch

[Thomas Laetsch @thomas_laetsch]

@laurafeiveson @WWMGT This was a fun exercise -- thank you for it!

[Thomas Laetsch @thomas_laetsch]

@laurafeiveson @WWMGT This was my approach, which sounds similar to yours.

[Thomas Laetsch @thomas_laetsch]

@laurafeiveson @WWMGT Another fun ratio to think about is what is the expected percentage of children within a family which are girls! If Y represents the random variable giving the number of boys in a family, then this will be E[1/(1+Y)]. And, if I did the calculation correct (?), is equal to log(2).

[Thomas Laetsch @thomas_laetsch]

@laurafeiveson @WWMGT So, one possible interpretation is E[N/B] = infinity (or undefined, depending on what glass of wine we're on).

[Thomas Laetsch @thomas_laetsch]

@laurafeiveson @WWMGT Hi Laura! With N fixed as the number of families and B random as the number of boys born to those families before the first girl, it should be that P(B=0)>0. This guarantees that the expected ratio of number of girls to boys N/B has infinite expectation.

[Thomas Laetsch @thomas_laetsch]

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