Beginning at 12:00 midnight, a computer center is up for

Chapter 4, Problem 50E

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QUESTION:

Problem 50E

Beginning at 12:00 midnight, a computer center is up for one hour and then down for two hours on a regular cycle. A person who is unaware of this schedule dials the center at a random time between 12:00 midnight and 5:00 A.M. What is the probability that the center is up when the person’s call comes in?

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QUESTION:

Problem 50E

Beginning at 12:00 midnight, a computer center is up for one hour and then down for two hours on a regular cycle. A person who is unaware of this schedule dials the center at a random time between 12:00 midnight and 5:00 A.M. What is the probability that the center is up when the person’s call comes in?

ANSWER:

Solution 50E

Step1 of 2:

Let us consider a random variable Y it presents the number of person’s call comes when center is up. Beginning at 12:00 midnight, a computer center is up for 1 hour and then down for 2 hours on a regular cycle.

We need to find  the probability that the center is up when the person’s call comes in.


Step2 of 2:

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