A system with three independent components works correctly if at least onecomponent is functioning properly. Failure rates of the individual componentsare 1 = 0.0001, 2 = 0.0002, and 3 = 0.0004 (assume exponential lifetime dis-tributions).(a) Determine the probability that the system will work for 1000 h.(b) Determine the density function of the lifetime X of the system.

Section 1.1 The Structure of Data Statistics: Unlocking the Power of DatLock Outline ●Data ●Cases and variables ●Categorical and quantitative variables ●Explanatory and response variables ●Using data to answer a question Statistics: Unlocking the Power of DLock Why Statistics ● Statistics is all about DATA ○ Collecting DATA ○ Describing...