A Web site contains here identical computer servers. Only one is used to operate the site, and the other two are spares that can be activated in case the primary system fails. The probability of failure in the primary computer (or any activated spare system) from a request for service is 0.0005. Assuming that each request represents an independent trial, a. What is the probability that all three servers fail within five requests? b. What is the probability that a server fail within first request?

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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Maintain 4-decimal places.

Correction: A web site contains three identical computer servers.

A Web site contains here identical computer servers. Only one is used to operate the site, and the
other two are spares that can be activated in case the primary system fails. The probability of failure
in the primary computer (or any activated spare system) from a request for service is 0.0005.
Assuming that each request represents an independent trial,
a. What is the probability that all three servers fail within five requests?
b. What is the probability that a server fail within first request?
Transcribed Image Text:A Web site contains here identical computer servers. Only one is used to operate the site, and the other two are spares that can be activated in case the primary system fails. The probability of failure in the primary computer (or any activated spare system) from a request for service is 0.0005. Assuming that each request represents an independent trial, a. What is the probability that all three servers fail within five requests? b. What is the probability that a server fail within first request?
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