anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
For a I have to use the formula: P(A) + P(B) - P(A n B) =
anonymous
  • anonymous
|dw:1346193475482:dw|
anonymous
  • anonymous
Yeah, my teacher drew that out for us today. I don't really get what goes in the formula for part a though.

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More answers

anonymous
  • anonymous
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.
anonymous
  • anonymous
|dw:1346193785276:dw|
anonymous
  • anonymous
yeah i see that now.
anonymous
  • anonymous
|dw:1346193816687:dw|
anonymous
  • anonymous
for b, do i take 37 + 79 and then subtract 82?
anonymous
  • anonymous
or am i off?
anonymous
  • anonymous
I think you should just take the complement of your answer to A.
anonymous
  • anonymous
66% of houses have either a pool or a garage, so (1-0.66) = 0.44 will have none of these.
anonymous
  • anonymous
that's not it
anonymous
  • anonymous
i am given this formula though: P(A)=1-P(A^c)
anonymous
  • anonymous
Yeah, so 1-P(A)' = P(A), and this works the other way. 1-P(A) = P(A)'
anonymous
  • anonymous
it's 0.34. you subtracted wrong.
anonymous
  • anonymous
Haha oh dear, more coffee required. Sorry. Do you get the idea though?
anonymous
  • anonymous
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.
anonymous
  • anonymous
My advice is to get the hang of drawing those Venn Diagrams. They are really helpful.
anonymous
  • anonymous
can you help me with part c too?
anonymous
  • anonymous
hello?
anonymous
  • anonymous
This area, right? |dw:1346194888234:dw|
anonymous
  • anonymous
yeah
anonymous
  • anonymous
is it 0.21-0.18?
anonymous
  • anonymous
:)
anonymous
  • anonymous
sweet :)

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