A collection of 30 Christmas tree lights are arranged in a pure series circuit; that is, ifone of the lights burns out, then the entire string goes out. Suppose that each light failscompletely at random at a rate of one failure every year. What is the probability that thelights will burn from the beginning of Christmas Eve (December 24) to the end of NewYear’s Day (January 1) without failure?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 50P
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A collection of 30 Christmas tree lights are arranged in a pure series circuit; that is, if
one of the lights burns out, then the entire string goes out. Suppose that each light fails
completely at random at a rate of one failure every year. What is the probability that the
lights will burn from the beginning of Christmas Eve (December 24) to the end of New
Year’s Day (January 1) without failure?

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