Example. The number of accidents that occur during a given month at a particular intersec- tion, X, tabulated by a group of Boy Scouts over a long time period is found to have a mean of 12 and a...

Extracted text: Example. The number of accidents that occur during a given month at a particular intersec- tion, X, tabulated by a group of Boy Scouts over a long time period is found to have a mean of 12 and a standard deviation of 2. The underlying distribution is not known. What is the probability that, next month, X will be greater than eight but less than sixteen. We thus want P[8 < x="">< 16].="" 1="" p="" [(µ="" –="" ko)="">< x="">< (µ="" +="" kµ)]=""> 1 – k2 For this problem u = 12 and o = 2 so u – ko = 12 - 2k. We can solve this equation for the k that gives us the desired bounds on the probability.