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6. [47.69 Points] WACKERLYSTATT 3.4.039. ASK YOUR TEACHER PRACTICE ANOTHER A complex electronic system is built with a certain number of backup components in its

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6. [47.69 Points] WACKERLYSTATT 3.4.039. ASK YOUR TEACHER PRACTICE ANOTHER A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has six identical components, each with a probability of 0.35 of failing in less than 1,000 hours. The sub system will operate if any three of the six components are operating. Assume that the components operate independently. (Round your answers to four decimal places.) (a) Find the probability that exactly three of the six components last longer than 1,000 hours. E (b) Find the probability that the subsystem operates longer than 1,000 hours. E Need Help? 7. [47.69 Points] WAC KERLYSTATT 3.4.045. MY NOTES ASK YOUR TEACH ER PRACTICE AN 0TH ER A fireadetection device utilizes three temperatureesensitive cells acting independently of each other in such a manner that any one or more may activate the alarm. Each cell possesses a probability ofp = 0.63 of activating the alarm when the temperature reaches 100\" Celsius or more. Let Y equal the number of cells activating the alarm when the temperature reaches 100\". (Round your answers to four decimal places.) (a) Find the probability distribution for Y. New: Ptv=n=: New: Ptv:3):: (b) Find the probability that the alarm will function when the temperature reaches 1.00". Z Need Help? E E

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