A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails the whole string will go dark. Each light has probability of 0.02 of failing during a 3-year period. The lights fail independently of each other. Find the

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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A string of Christmas lights contains 20
lights. The lights are wired in series, so that
if any light fails the whole string will go
dark. Each light has probability of 0.02 of
failing during a 3-year period. The lights fail
independently of each other. Find the
probability that the string of lights will
remain bright for 3 years.
Round to four decimal places, 0.XXXX.
Transcribed Image Text:A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails the whole string will go dark. Each light has probability of 0.02 of failing during a 3-year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years. Round to four decimal places, 0.XXXX.
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