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mariomintchev Group Title

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?

  • 2 years ago
  • 2 years ago

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  1. mariomintchev Group Title
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    For a I have to use the formula: P(A) + P(B) - P(A n B) =

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

    • 2 years ago
  3. mariomintchev Group Title
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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.

    • 2 years ago
  4. Polrek Group Title
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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.

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

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

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

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

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

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

    • 2 years ago
  11. Polrek Group Title
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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.

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

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

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

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

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

    • 2 years ago
  17. mariomintchev Group Title
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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.

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

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

    • 2 years ago
  20. mariomintchev Group Title
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    hello?

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

    • 2 years ago
  22. mariomintchev Group Title
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    yeah

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

    • 2 years ago
  24. Polrek Group Title
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    :)

    • 2 years ago
  25. mariomintchev Group Title
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    sweet :)

    • 2 years ago
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