An aircraft seam requires 28 rivets. The seam will have to be reworked if any of

Question

An aircraft seam requires 28 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 18% 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 11% of all seams need reworking? Need Help? Read It Talk to a Tutor Submit Answer Save Progress Practice Another Version -12 points DevoreStat9 2.E.078 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 Calculate P(at least one valve opens). (Round your answer to eight decimal places.) My Notes Ask Yo Calculate P(at least one valve fails to open). (Round your answer to four decimal places.)

Explanation / Answer

We would work on this example with the following way

a)

q=1-p=1-0.18=0.82

0.82^1/28=0.9929

probability is 1-0.9929=0.0071

b)

q=1-p=1-0.11=0.89

0.89^1/28=0.9958

probability is 1-0.9958=0.0042

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