A boiler has four identical relief valves. The probability that any particular valve will open on demand is 0.91. Assume independent operation of the valves.   (a) Calculate P(at least one valve opens). (Round your answer to eight decimal places.) (b) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A boiler has four identical relief valves. The probability that any particular valve will open on demand is 0.91. Assume independent operation of the valves.
 
(a) Calculate P(at least one valve opens). (Round your answer to eight decimal places.)
(b) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.)
 
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