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mariomintchev

  • 2 years ago

Stats Question Real estate ads suggest that 63% of homes for sale have garages, 21% have pools, and 18% have both features. What is the probability that a home for sale has: a) A pool or garage? b) Neither a pool or garage? c) A pool but no garage?

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  1. mariomintchev
    • 2 years ago
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    For a I have to use the formula: P(A) + P(B) - P(A n B) =

  2. Polrek
    • 2 years ago
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    |dw:1346193475482:dw|

  3. mariomintchev
    • 2 years ago
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    Yeah, my teacher drew that out for us today. I don't really get what goes in the formula for part a though.

  4. Polrek
    • 2 years ago
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    So the entire garage circle is 63% and the entire Pool circle is 21%. But these two percentages also contain the percentage of houses which have both. So you should add together the 63% and the 21%, and subtract the 18%, which is the intersection of A and B.

  5. Polrek
    • 2 years ago
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    |dw:1346193785276:dw|

  6. mariomintchev
    • 2 years ago
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    yeah i see that now.

  7. Polrek
    • 2 years ago
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    |dw:1346193816687:dw|

  8. mariomintchev
    • 2 years ago
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    for b, do i take 37 + 79 and then subtract 82?

  9. mariomintchev
    • 2 years ago
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    or am i off?

  10. Polrek
    • 2 years ago
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    I think you should just take the complement of your answer to A.

  11. Polrek
    • 2 years ago
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    66% of houses have either a pool or a garage, so (1-0.66) = 0.44 will have none of these.

  12. mariomintchev
    • 2 years ago
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    that's not it

  13. mariomintchev
    • 2 years ago
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    i am given this formula though: P(A)=1-P(A^c)

  14. Polrek
    • 2 years ago
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    Yeah, so 1-P(A)' = P(A), and this works the other way. 1-P(A) = P(A)'

  15. mariomintchev
    • 2 years ago
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    it's 0.34. you subtracted wrong.

  16. Polrek
    • 2 years ago
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    Haha oh dear, more coffee required. Sorry. Do you get the idea though?

  17. mariomintchev
    • 2 years ago
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    yeah, i'm getting it slowly but surely. this is my first time taking stats and i just started, so i'm getting used to it.

  18. Polrek
    • 2 years ago
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    My advice is to get the hang of drawing those Venn Diagrams. They are really helpful.

  19. mariomintchev
    • 2 years ago
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    can you help me with part c too?

  20. mariomintchev
    • 2 years ago
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    hello?

  21. Polrek
    • 2 years ago
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    This area, right? |dw:1346194888234:dw|

  22. mariomintchev
    • 2 years ago
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    yeah

  23. mariomintchev
    • 2 years ago
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    is it 0.21-0.18?

  24. Polrek
    • 2 years ago
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    :)

  25. mariomintchev
    • 2 years ago
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    sweet :)

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