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The purpose of rail car "classification" is to sort individual cars on a train to facilitate theit transfers to other trains. Each car of a train with 88 cars has an equal probability of being sorted onto any of 10 available classification

The purpose of rail car "classification" is to sort individual cars on a train to facilitate theit transfers to other trains. Each car of a train with 88 cars has an equal probability of being sorted onto any of 10 available classification

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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Civil Engineering The purpose of rail car "classification" is to sort individual cars on a train to facilitate their transfers to other trains. Each car of a train with 88 cars has an equal probability of being sorted onto any of 10 available classification tracks. a) Determine the mean and standard deviation of the number of (this train's) cars sorted to track number 2. b) Each car sorted to track 2 is carried by the next departing train with a probability p = 0.3. What is the mean and standard deviation of the number of cars remaining on track 2 after this ("next") train departure?
Transcribed Image Text:Civil Engineering The purpose of rail car "classification" is to sort individual cars on a train to facilitate their transfers to other trains. Each car of a train with 88 cars has an equal probability of being sorted onto any of 10 available classification tracks. a) Determine the mean and standard deviation of the number of (this train's) cars sorted to track number 2. b) Each car sorted to track 2 is carried by the next departing train with a probability p = 0.3. What is the mean and standard deviation of the number of cars remaining on track 2 after this ("next") train departure?
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