Reliability is the probate device performing its purpose adequately for the peri
ID: 3205296 • Letter: R
Question
Reliability is the probate device performing its purpose adequately for the period of time A piece of equipment the operating conditions encountered, to function all, consists of three components in series: for the equipment, respective functioning. Let X_1, X_2, and X_3 be the set of the components 1, 2, and 3 measured in hours. Suppose P{X_1 lessthanorequalto, t} = 1 - e^10-t r greaterthanorequalto 0, P{X_2 lessthanorequalto, t} = 1 - e^10-t r greaterthanorequalto 0, P{X_3 lessthanorequalto, t} = 1 - e^10-t r greaterthanorequalto 0, If the lifetimes of the Components are independent, what is the reliability of the equipment in a mission requiring 4,000 hours?Explanation / Answer
reliabilty fo the componet after (t>4000) =component A survives*B survives*C survives
=e-(10^-4)*4000*e-(3*10^-4)*4000*e-(2*10^-4)*4000
=e-0.4*e-1.2*e-0.8 =0.0907