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OfflineTybg
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Need help with a college level Statistics Probability problem
    #22434204 - 10/25/15 11:24 PM (8 years, 3 months ago)

I'd appreciate greatly if any of shroomerys math whizes out there can help me out with this statistics problem, and explain the answer to me. here it is:

Income By Region: According to the US census bureau, 17.9% of U.S. households are in the Northeast. In addition, 5.4% of U.S. households earn $100,000 or more per year and are located in the Northeast. Determine the probability that a randomly selected U.S. household earns more than $100,000 per year, given that the household is located in the Northeast.


Edited by Tybg (10/25/15 11:27 PM)


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OfflineOrangeJ
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Re: Need help with a college level Statistics Probability problem [Re: Tybg]
    #22434272 - 10/25/15 11:46 PM (8 years, 3 months ago)

Let A and B be events. Let P(A) be the probability of A, let P(B) be the probability of B, etc. Let P(A|B) represent the probability of A given B.

The definition of conditional probability states that P(A|B)=P(A and B) / P(B).

Here, A is the event that a house earns more than $100,000 a year, and B is the event that a house is in the Northeast. P(A and B) is given to you in the problem; it is 5.4%. P(B) is given to you as well; it is 17.9%.

So, using the above information, what would be P(A|B)?


Edited by OrangeJ (10/25/15 11:47 PM)


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OfflineOrangeJ
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Re: Need help with a college level Statistics Probability problem [Re: OrangeJ]
    #22434281 - 10/25/15 11:50 PM (8 years, 3 months ago)

BTW, if there are any conceptual questions you want help with (like why the above equation is true), let me know. Often math gets a lot easier and more fun when you understand why stuff is the way it is.

Have you learned about sample spaces and the non-naive definition of probability in your class?


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OfflineTybg
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Re: Need help with a college level Statistics Probability problem [Re: OrangeJ]
    #22434559 - 10/26/15 02:16 AM (8 years, 3 months ago)

Thanks a lot man, that comment helped my roommate out and he managed to finish and understand the problem now. I on the other hand, not so much haha


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OfflineTybg
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Re: Need help with a college level Statistics Probability problem [Re: OrangeJ]
    #22434563 - 10/26/15 02:23 AM (8 years, 3 months ago)

Quote:

OrangeJ said:
BTW, if there are any conceptual questions you want help with (like why the above equation is true), let me know. Often math gets a lot easier and more fun when you understand why stuff is the way it is.

Have you learned about sample spaces and the non-naive definition of probability in your class?




Thanks a ton! I'll pm you on a few other questions I didn't understand on this homework in the morning. And no I haven't learned about sample spaces or the non-naive def of probability. But maybe that's just cuz im in intro to stats?


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OfflineOrangeJ
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Re: Need help with a college level Statistics Probability problem [Re: Tybg]
    #22434631 - 10/26/15 03:28 AM (8 years, 3 months ago)

Quote:

Tybg said:
Thanks a ton! I'll pm you on a few other questions I didn't understand on this homework in the morning.




You're welcome! ~ I will be on Shroomery in the afternoon tomorrow, so I'll be glad to help then.

Quote:

Tybg said: And no I haven't learned about sample spaces or the non-naive def of probability. But maybe that's just cuz im in intro to stats?




Oh, that's probably why then. Those topics are usually not covered until you take a more formal probability course that comes after intro to stats (but the ideas are not harder to understand; if you want, I can give you a general idea of what kinds of stuff such a course typically covers, via PM).

Crap, it's like 4 a.m. over here. Time to go to sleep!


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