# How would a frequentist solve this?

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.'

• 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 ...) – kjetil b halvorsen May 12 '18 at 12:40
• would not a frequentist say it is a guy since, (parameter = (girl or guy). likelihood(guy/trouser = 1, likelihood(girl/trouser) = 0.5. MLE)? – MiloMinderbinder May 12 '18 at 13:22
• 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. – kjetil b halvorsen May 12 '18 at 16:39
• yes you are absolutely right about everything – MiloMinderbinder May 13 '18 at 0:22