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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.92. Assume independent operation of the valves. Calculate P(at least one valve opens). (Round your answer to eight decimal places.) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.) Need Help? Read It

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.92. Assume independent operation of the valves. Calculate P(at least one valve opens). (Round your answer to eight decimal places.) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.) Need Help? Read It

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 15CR
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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.92. Assume independent operation of the valves. Calculate P(at least one valve opens). (Round your answer to eight decimal places.) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.) Need Help? Read It
Transcribed Image Text:A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.92. Assume independent operation of the valves. Calculate P(at least one valve opens). (Round your answer to eight decimal places.) Calculate P(at least one valve fails to open). (Round your answer to four decimal places.) Need Help? Read It
Expert Solution
Step 1

We have given that, 

Let X be the random variable from binomial distribution with probability of valve will open (p) =0.92 and sample size (n) = 5 

also, 

Let Y be the random variable from binomial distribution with probability of valve fail to open(p)=  1- 0.92  = 0.08 and sample size        (n) = 5 

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