Richard is going on a 1-hour space walk. He has a choice between two life- support...
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Richard is going on a 1-hour space walk. He has a choice between two life- support systems. Life-support system 1 has a Weibull lifetime with 2 = 1 and ß = 2, and life-support system 2 has a Weibull lifetime with λ=1 and ß = 3. Assuming that time is measured in hours and the Weibull survivor function is S(t) = e-(21) B t> 0,2 > 0, p>0, which life-support system should Richard choose? A fuse has an exponential time to failure. The 1000-hour reliability of the fuse is 0.98. Find the mean residual lifetime of the fuse if it is still operating after 567 hours of use. The probability that an item will survive a 1000-hour mission is 0.4. If the item is operating 800 hours into the mission, the probability of surviving the remaining 200 hours of the mission is 0.85. What is the probability that the item survives the initial 800 hours of the mission? Show that if I is exponentially distributed then (T/2-11/B has the Weibull distribution. Suppose that the lifetime T'has the following hazard function: ,0 ≤t≤to h(t) = c = c +m(t-to) ,t>to,m>0 Find the cumulative hazard function, H(t), and hence the survivor function S(t). Richard is going on a 1-hour space walk. He has a choice between two life- support systems. Life-support system 1 has a Weibull lifetime with 2 = 1 and ß = 2, and life-support system 2 has a Weibull lifetime with λ=1 and ß = 3. Assuming that time is measured in hours and the Weibull survivor function is S(t) = e-(21) B t> 0,2 > 0, p>0, which life-support system should Richard choose? A fuse has an exponential time to failure. The 1000-hour reliability of the fuse is 0.98. Find the mean residual lifetime of the fuse if it is still operating after 567 hours of use. The probability that an item will survive a 1000-hour mission is 0.4. If the item is operating 800 hours into the mission, the probability of surviving the remaining 200 hours of the mission is 0.85. What is the probability that the item survives the initial 800 hours of the mission? Show that if I is exponentially distributed then (T/2-11/B has the Weibull distribution. Suppose that the lifetime T'has the following hazard function: ,0 ≤t≤to h(t) = c = c +m(t-to) ,t>to,m>0 Find the cumulative hazard function, H(t), and hence the survivor function S(t).
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S 1 1e 11 e 1 03679 and S 2 1e 11 e 11 03679 richard can choose either of the life support system ba... View the full answer
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