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You are not logged in. #1 20130307 07:44:55
Expected value of a function of a random variableThe problem states: If 1.5 gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week? [hint: let h(x)=amount left when demand =x.] As far as I understand, to solve the problem I need to calculate: And E(h(X)) would be the answer for the problem. But what is the h(x)??? Is it (1.5x) or is it something else? #2 20130307 07:58:49
Re: Expected value of a function of a random variableOk, I tried it both ways and got: if h(x)=x1.5, then Maybe I do not understand it at all, but: If pdf is defined for the [1,2] range, does that mean that we expect "the demand" to be at least 1, but no more than 2? but from this point of view the 1.5 at the beginning of the week will satisfy part of the demand and at the end of the week we would have a shortage. So negative amount should be the correct answer? #3 20130307 09:18:55
Re: Expected value of a function of a random variableYou can not have here a minus expectation of oil left. I think you say it is 0. Last edited by bobbym (20130307 22:10:29) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 