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I think i understand what bayesian viewpoint is and what frequentist viewpoint is. But i always feel like i am missing something. I think there is a blind spot. so as an attempt :- Can somebody explain how would a frequentist solve this?

Suppose there is a mixed school having 60% boys and 40% girls as students. The girls wear trousers or skirts in equal numbers; the boys all wear trousers. An observer sees a (random) student from a distance; all the observer can see is that this student is wearing trousers. What is the probability this student is a girl? ref

I do not think given just this much a frequentist can solve this. But, I don't know

btw if a frequentist cannot solve this why have i not heard Bayesian interpretation touted louder than frequentist interpretation. It has always been 'it depends on you whom you want to be.'

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    $\begingroup$ Yours is a probability problem, which can be solved by bayes' theorem. There is nothing "Bayesian" about bayes' theorem, it is just a theorem of probability theory equally valid for frequentists and bayesians (and many others ...) $\endgroup$ – kjetil b halvorsen May 12 '18 at 12:40
  • $\begingroup$ would not a frequentist say it is a guy since, (parameter = (girl or guy). likelihood(guy/trouser = 1, likelihood(girl/trouser) = 0.5. MLE)? $\endgroup$ – MiloMinderbinder May 12 '18 at 13:22
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    $\begingroup$ No, (girl or guy) would not be a parameter! Here it would be a random variable, and the question could be treated as prediction, not estimation. $\endgroup$ – kjetil b halvorsen May 12 '18 at 16:39
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    $\begingroup$ yes you are absolutely right about everything $\endgroup$ – MiloMinderbinder May 13 '18 at 0:22

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