anonymous
  • anonymous
what is the area under the normal bell curve between z-scores of 1.82 and 2.09
Mathematics
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SOLVED
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chestercat
  • chestercat
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johnweldon1993
  • johnweldon1993
Need to find a table quick hang on a sec lol
anonymous
  • anonymous
oke. c:
shelby33
  • shelby33
The standard normal distribution is a normal distribution with a standard deviation on 1 and a mean of 0.

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anonymous
  • anonymous
the choices i have are A:1.96% B:1.61% C:0.82% D:2.23%
anonymous
  • anonymous
so c?
anonymous
  • anonymous
could it be A, because its between 1.82 &2.09?
johnweldon1993
  • johnweldon1993
Okay got one lol So first we have a normal bell curve |dw:1433865528044:dw| *Kinda butchered it but oh well lol So we have a z-score of 1.82 and 2.09 From this table...the value for the area given will be from -infinity to the z-score...so Area from -infinity to 2.09 = 0.9817 Area from -infinity to 1.82 = 0.9656 So what we need to do is subtract these 2 numbers \[\large 0.9817 - 0.9656 = 0.0161\] Since you have percents as your answer choices...that will be 1.61%
johnweldon1993
  • johnweldon1993
The reasoning behind this is... We find the area under the curve up to 2.09 |dw:1433865849226:dw| And then we find the area under the curve up to 1.82 |dw:1433865898143:dw|
anonymous
  • anonymous
ah..yeah now i remember something about that from when i took the actual class. *facepalm* thanks so much!
johnweldon1993
  • johnweldon1993
Now of course be want the area BETWEEN the 2 scores...so as we can see...we have some overlap.... |dw:1433865949260:dw| so we merely subtract :D
johnweldon1993
  • johnweldon1993
And lol no problem :D
shelby33
  • shelby33
yes
shelby33
  • shelby33
johnweldon1993 plez message I need to ask u some thing

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