The time to failure (in year) of a Cyclone 365 computer has the probability density function...

 

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The time to failure (in year) of a Cyclone 365 computer has the probability density function ƒ(1)= ¼/(1+1)², ¹² t20. a. If three of these computers are placed in parallel aboard the proposed space station, what is the system reliability for the first 6 months of operation? b. What is the system design life in days if reliability of a 0.999 is required? c. What is the system reliability for 6 months if two out of the three components must function? 2. Which system, (i) or (ii) has the higher reliability at the end of 100 operating hours? (i) Two CFR components in parallel each having an MTTF of 1000 hr. (ii) A Weibull component with a shape parameter of 2 and a characteristic life of 10000 hr in series with a CFR component with a failure rate of 0.00005. The time to failure (in year) of a Cyclone 365 computer has the probability density function ƒ(1)= ¼/(1+1)², ¹² t20. a. If three of these computers are placed in parallel aboard the proposed space station, what is the system reliability for the first 6 months of operation? b. What is the system design life in days if reliability of a 0.999 is required? c. What is the system reliability for 6 months if two out of the three components must function? 2. Which system, (i) or (ii) has the higher reliability at the end of 100 operating hours? (i) Two CFR components in parallel each having an MTTF of 1000 hr. (ii) A Weibull component with a shape parameter of 2 and a characteristic life of 10000 hr in series with a CFR component with a failure rate of 0.00005.