The lifetimes of six major components in a copier are independent exponential random variables with means of 8000, 10000, 13000, 20000, 20000, and 25000 hours, respectively. Round your answers to three decimal places (e.g. 98.765). (a) What is the probability that the lifetimes of all the components exceed 5000 hours? (b) What is the probability that at least one component lifetime exceeds 25000 hours?
The lifetimes of six major components in a copier are independent exponential random variables with means of 8000, 10000, 13000, 20000, 20000, and 25000 hours, respectively. Round your answers to three decimal places (e.g. 98.765). (a) What is the probability that the lifetimes of all the components exceed 5000 hours? (b) What is the probability that at least one component lifetime exceeds 25000 hours?
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![The lifetimes of six major components in a copier are independent exponential random variables with means of 8000, 10000, 13000,
20000, 20000, and 25000 hours, respectively. Round your answers to three decimal places (e.g. 98.765).
(a) What is the probability that the lifetimes of all the components exceed 5000 hours?
(b) What is the probability that at least one component lifetime exceeds 25000 hours?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01f4e166-ab95-49a8-b21a-991200672a54%2F7ccaaf14-7885-4023-b0d8-0a3766296f84%2Fuv5dpp6_processed.png&w=3840&q=75)
Transcribed Image Text:The lifetimes of six major components in a copier are independent exponential random variables with means of 8000, 10000, 13000,
20000, 20000, and 25000 hours, respectively. Round your answers to three decimal places (e.g. 98.765).
(a) What is the probability that the lifetimes of all the components exceed 5000 hours?
(b) What is the probability that at least one component lifetime exceeds 25000 hours?
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