Consider a manufacturing station, which can be in 2 conditions. Either "up" or "down". If a machine is "up" on a given day, then it will be "up" the next day with a probability a=0.9. If a machine is "down", it will be "down" the following day with a probability B=0.6. In class we modeled this as a DTMC as follows: X = Number of machines "up" on day n S = {0, 1, 2} P = 0.36 0.48 0.16 0.06 0.58 0.36 0.01 0.18 0.81 Suppose that on day 0 you have 1 machine working, what is the probability that on day 2 you will have 2 machines working?

Consider a manufacturing station, which can be in 2 conditions. Either "up" or "down". If a machine is "up" on a given day, then it will be "up" the next day with a probability a=0.9. If a machine is "down", it will be "down" the following day with a probability B=0.6. In class we modeled this as a DTMC as follows: X = Number of machines "up" on day n S = {0, 1, 2} P = 0.36 0.48 0.16 0.06 0.58 0.36 0.01 0.18 0.81 Suppose that on day 0 you have 1 machine working, what is the probability that on day 2 you will have 2 machines working?

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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