what is the area under the normal bell curve between z-scores of 1.82 and 2.09

Question

johnweldon1993 · Answer

Need to find a table quick hang on a sec lol

anonymous · Answer

oke. c:

shelby33 · Answer

The standard normal distribution is a normal distribution with a standard deviation on 1 and a mean of 0.

anonymous · Answer

the choices i have are
 A:1.96% 
B:1.61%
C:0.82%
D:2.23%

anonymous · Answer

so c?

anonymous · Answer

could it be A, because its between 1.82 &2.09?

johnweldon1993 · Answer

Okay got one lol

So first we have a normal bell curve

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*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 · Answer

The reasoning behind this is...

We find the area under the curve up to 2.09

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And then we find the area under the curve up to 1.82

|dw:1433865898143:dw|