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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 - 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.

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 - 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
Transcribed Image 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.
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