An electrical system consists of 2 components (C1 and C2) functioning independently and are set in a serial layout. The failure time of each component follows an exponential distribution with rate 2 in every year. Thus the system will operate if both components function, and it will fail if any one component fails. (a) Obtain the failure density and distribution of the system (b) Obtain the survival function/distribution of the system. (c) Based on your answer in (a) and (b), calculate i) the probability that the system fails in less than 8 months. ii) the expected time to failure of the system.
An electrical system consists of 2 components (C1 and C2) functioning independently and are set in a serial layout. The failure time of each component follows an exponential distribution with rate 2 in every year. Thus the system will operate if both components function, and it will fail if any one component fails. (a) Obtain the failure density and distribution of the system (b) Obtain the survival function/distribution of the system. (c) Based on your answer in (a) and (b), calculate i) the probability that the system fails in less than 8 months. ii) the expected time to failure of the system.
An electrical system consists of 2 components (C1 and C2) functioning independently and are set in a serial layout. The failure time of each component follows an exponential distribution with rate 2 in every year. Thus the system will operate if both components function, and it will fail if any one component fails. (a) Obtain the failure density and distribution of the system (b) Obtain the survival function/distribution of the system. (c) Based on your answer in (a) and (b), calculate i) the probability that the system fails in less than 8 months. ii) the expected time to failure of the system.
An electrical system consists of 2 components (C1 and C2) functioning independently and are set in a serial layout. The failure time of each component follows an exponential distribution with rate 2 in every year. Thus the system will operate if both components function, and it will fail if any one component fails. (a) Obtain the failure density and distribution of the system (b) Obtain the survival function/distribution of the system. (c) Based on your answer in (a) and (b), calculate i) the probability that the system fails in less than 8 months. ii) the expected time to failure of the system.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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