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An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently. (a) What is the probability that all of the sprinklers will operate correctly in a fire? Round your answer to three decimal places (e.g. 0.987). i 0.028 (b) What is the probability that at least 7 of the sprinklers will operate correctly in a fire? Round your answer to two decimal places (e.g. 0.98). i ! (c) What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98? eTextbook and Media Save for Later ! 20 F3 F4 F5 MacBook Air 品 F6 Attempts: 0 of 1 used Submit Answer A 会 A F7 F8 F9 F10 F11

An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently. (a) What is the probability that all of the sprinklers will operate correctly in a fire? Round your answer to three decimal places (e.g. 0.987). i 0.028 (b) What is the probability that at least 7 of the sprinklers will operate correctly in a fire? Round your answer to two decimal places (e.g. 0.98). i ! (c) What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98? eTextbook and Media Save for Later ! 20 F3 F4 F5 MacBook Air 品 F6 Attempts: 0 of 1 used Submit Answer A 会 A F7 F8 F9 F10 F11

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently. (a) What is the probability that all of the sprinklers will operate correctly in a fire? Round your answer to three decimal places (e.g. 0.987). i 0.028 (b) What is the probability that at least 7 of the sprinklers will operate correctly in a fire? Round your answer to two decimal places (e.g. 0.98). i ! (c) What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98? eTextbook and Media Save for Later ! 20 F3 F4 F5 MacBook Air 品 F6 Attempts: 0 of 1 used Submit Answer A 会 A F7 F8 F9 F10 F11
Transcribed Image Text:An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently. (a) What is the probability that all of the sprinklers will operate correctly in a fire? Round your answer to three decimal places (e.g. 0.987). i 0.028 (b) What is the probability that at least 7 of the sprinklers will operate correctly in a fire? Round your answer to two decimal places (e.g. 0.98). i ! (c) What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98? eTextbook and Media Save for Later ! 20 F3 F4 F5 MacBook Air 品 F6 Attempts: 0 of 1 used Submit Answer A 会 A F7 F8 F9 F10 F11
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