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# Norm Prob Dist

### 5.1

What's a normal distribution? a continuous probability distribution for random variable x.
What's a normal curve? a graph of norm dist.
What's normal distribution property #1 1. mean, median, mode are equal.
What's normal distribution property #2 2. normal curve is bell shaped and symmetric about the mean.
What's normal distribution property #3 3. total area under normal curve equals 1.
What's normal distribution property #4 4. normal curve approaches, but never touches, the x-axis as it extends further away from mean.
What's normal distribution property #5 5. B/w u-o & u=o (in the center of the curve) graph curves upward to the left of u-o & to the right of u+o.
what are inflection points points at which curve changes from curving upward to curving downward
what's the formula to find the z-score? (x-u)/o
What's a standard normal distribution? normal distribution with mean of 0 and standard deviation of 1
what are the properties of a standard normal distribution? (1).cumulative area (CA) is close to 0 for z-scores close to z=-3.49 (2) CA increases as z-scores increase (3) CA for z=0 is .5000 (4) CA is close to 1 for z-scores close to z=3.49
how do you find the area to left of z score use stand norm table.
dow do you find area to right of z score b. 1 - (left of z, use table to find)
how do you find area between 2 z-scores find area to left of each z-score using table. Subtract high from low #.
what's the area to LEFT of z=1.23? Area to left=.8907 (coordinates: 1.2, .03)
What's the area BETWEEN z=1.23 and z=-.75? 1.23=.8907, -.75=2266, so area b/w=.8907-.2266=.6641
What's the area to RIGHT of z=1.23? Area to right=1-.8907=.1093
Created by: 100001455498513