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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. 1 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) 2 5.2.notebook October 20, 2014 5.2: 1,2,9,13,17,21,25,29,3741,43,49,57 3