1016 B
(Ch 18, stat 1040)
The probability histogram for the sum of the draws looks like the normal curve, even if the tickets in the box are not normally distributed, as long as the draws are sufficiently large.
Probability histograms represent chance. Each class interval represents the probability an event would occur. As the number of repetitions increases, the closer the graphed data will appear to the calculated probability histogram.
The probability curve for the sum of draws will approximately follow the normal curve if the number of draws is large enough, even if the tickets in the box *do not *follow the normal curve.
When applying statistics to sums, it's usually in the form of how much do we think the sum will add up to, then compared against what it actually adds up to. The EV_{sum} is used for for the estimated sum of all events. The SE_{sum} refers to the standard error of the sum, or how much you expect the guess to be off by. This can be thought of like the standard deviation.