A probability Histogram represents Chance by area not data as a normal histogram.
Empirical and Converge
Empirical means Experimental
Converge means Getting Closer
Normal Approximation
Represents areas over blocks
Coin tossed 100x what the chance of getting between heads between 45 and 55.5
Area over block = -45.5 and 55.5
SE(Like SD) = 5
EV = 50 (100 x 1/2)
Convert to Standard Units and Calculate using the Normal Curve
50-45.5 = -5.5/5(SE) -1.1
50-55.5 = 5.5/5(SE)= 1.1
Using the Normal Scale -1.1 and 1.1 lies in between the two. 72.87 %
Inclusive & Exclusive
Inclusive means to include the box areas in between the points
Exclusive means to include the box area outside of points (pg 315/316)
Hard to calculate. Hardly used problems to estimate chance
Approximation Histogram
(Draw from a box)
The more the histogram of the numbers in the box differs from the Normal Curve the more draw are needed before the approximation takes hold Pg (319-323)
Find out about drawing from the box with replacing in reference to the curve