In a factory, two machines M1 and M2 are used jointly to manufacture cylin-drical parts in series. For a given period, their probabilities of breaking down are respectively 0, 01 and 0, 008. Moreover, the probability of the event “the machine M2 is down knowing that M1 is down” is equal to 0, 4. 1. What is the probability of having both machines down at the same time? 2. What is the probability of having at least one working machine?

In a factory, two machines M1 and M2 are used jointly to manufacture cylin-drical parts in series. For a given period, their probabilities of breaking down are respectively 0, 01 and 0, 008. Moreover, the probability of the event “the machine M2 is down knowing that M1 is down” is equal to 0, 4. 1. What is the probability of having both machines down at the same time? 2. What is the probability of having at least one working machine?

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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Problem7:
In a factory, two machines M1 and M2 are used jointly to manufacture cylin-drical parts in series. For a given period, their probabilities of breaking down are respectively 0, 01 and 0, 008. Moreover, the probability of the event “the machine M2 is down knowing that M1 is down” is equal to 0, 4.

1. What is the probability of having both machines down at the same time?
2. What is the probability of having at least one working machine?

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