An aircraft seam requires 24 rivets. The seam will have to be reworked if any of

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An aircraft seam requires 24 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 17% of all seams need reworking, what is the probability that a rivet is defective? (b) How small should the probability of a defective rivet be to ensure that only 5% of all seams need reworking? Need Help?Read It Talk to a Tutor Submit Answer Save ress Practice Another Version + -/1 points DevoreStat9 2.E.078 My Notes Ask Your Teacher A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.91. 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 Talk to a Tutor -,1 points DevoreStat92.E·079 My Notes Ask Your Teache + Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump will fail is 0.10, and the probability that only the newer pump will fail is 0.05. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)? (Round your answers to four decimal places.) smaller answer arger answer Need Help?Read It Talk to a Tutor + -,1 points DevoreStat9 2.E.080 My NotesAsk Your Teacher Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.79 for i-1, 2 and-0.7 for i-3, 4, calculate P(system works). (Round your answer to four decimal places.) 4

Explanation / Answer

Solution:-

78)

n = 5,

P(Opens) = 0.91, P(Fails) = 0.09

a) The probability that atleast one valve is 0.99999.

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 1) = 0.99999

b) The probability that atleast one valve fails is 0.3759.

P(Fails) = 0.09

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 1) = 0.3759

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