10. A string of holiday lights contains 20 lights. The lights are wired in serie

Question

10. A string of holiday 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 0.02 of failing during a 3-year period. The lights fail independently of each other. What is the probability that the string of lights will remain bright for 3 years? Choose the correct answer: (P is the probability-given to four decimal places) Piall 20 lights work for 3 years) 0.6676 Piall 20 lights work for 3 years) 0.0020 Piall 20 lights work for 3 years) 0.1020 Pall 20 lights work for 3 years) 0.0980

Explanation / Answer

P(fail during a 3 year period) = 0.02

P(work during a 3 year period) = 1 - 0.02 = 0.98

P(all 20 light works for 3 year) = 0.9820 = 0.6676 (ans)

Option-A) P(all 20 light works for 3 year) = 0.6676

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