2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given broken terminal will be repaired. Terminals can never be repaired on the same day they break, and repaired terminals are never used until the following day. In the long run, how many terminals in the room will be working on average?

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...
icon
Related questions
Question

Could you please  do all parts and provide written solutions , with explanations 

2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day
there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given
broken terminal will be repaired. Terminals can never be repaired on the same day they break, and
repaired terminals are never used until the following day. In the long run, how many terminals in the room
will be working on average?
Transcribed Image Text:2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given broken terminal will be repaired. Terminals can never be repaired on the same day they break, and repaired terminals are never used until the following day. In the long run, how many terminals in the room will be working on average?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer