STATS 11 - Normal Distribution, Area Below, Above, and Between

normal distribution

distribution of a continuous random variable

normal curve

graph is a bell-shaped curve

bell-shaped

a property that talks about the way the curve is shaped

symmetrical

a property where the y-axis divides the area of curve into 2 _________ parts

total area is 1

a property that talks about the amount of area under the curve

mean, median, and mode

a property that is being present at the center of the distribution

unimodal

a property about the single peak in the curve

asymptotic

a property where the ends of the curve approach the horizontal axis but never actually touch it

standard normal distribution

normal distribution with a mean of 0 and a standard deviation of 1

area below/to the left

if z is negative we subtract 0.5, positive we add 0.5

area above/to the right

if z is negative we add 0.5, positive we subtract 0.5

between 1

if z are both positive or both negative, we subtract

between 2

if z has different signs, we add

x - m/σ

formula for finding z

zσ + m

formula for finding x