4.2. 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 µ – ko = 12 - 2k. We can solve this equation for the k that gives us the desired bounds on the probability.
4.2. 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 µ – ko = 12 - 2k. We can solve this equation for the k that gives us the desired bounds on the probability.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![4.2. 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 + k µ)] > 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee8e65d7-161e-4ad7-ad0d-1e9c842903fa%2F7ea1292d-1ddd-496e-b5a0-b178f70b4d8a%2F98swyl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.2. 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 + k µ)] > 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON