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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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
ii) the expected time to failure of the system.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images
