Download 5.2 Objective(s): Find areas under a standard normal curve. CCSS

5.2.notebook
October 20, 2014
5.2
Objective(s):
Find areas under a standard normal curve.
CCSS: S-MD
Standard normal distribution: normal distribution with mean of 0 and standard deviation of 1.
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5.2.notebook
October 20, 2014
To change a data value to one on a standard normal distribution, find the value's z­score.
z= x­μ
σ
Standard Normal Distribution tables (front of your book)
To find an area/probability/percent that will be to the left (below) your z­score:
• find the first decimal place on the left
• find the second decimal place on the top
• slide fingers together to find the area/probability/percent
example: find area to the left of z=1.13.
Techniques for finding areas to the Left, Right, and Between z­scores.
Left
use table to find area to left of z
P(x<z)
Right
use table to find area to the left
subtract value from 1
P(x>z)
Between
use table to find both left areas
subtract the lesser value from the larger value
P(­z<x<z)
Or
use table to find area of both regions. (subtract the upper from 1)
add areas together
P(x>z or x<­z)
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5.2.notebook
October 20, 2014
5.2: 1,2,9,13,17,21,25,29,37­41,43,49,57
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