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?

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?

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...

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