Various parametric families of models are used in the analysis of lifetime data and the modeling of aging or failure processes. Among univariate models, a few distributions occupy a central position because of their demonstrated usefulness in a wide range of situations. Name these distributions and describe their salient features. Provide suitable illustrations. A certain type of transistor is known to have a constant failure rate with 2 = 0.04105. What is the probability one of these transistors fails before 15,000 hr of use? How long do we have to wait to expect 1% failure? For a system having a Weibull failure distribution with a shape parameter of 1.4 and a scale parameter of 550 days, find the following: (i) (ii) (iii) (iv) (iv) the design life for a reliability of 0.90. R(100 days), the time when 0.1% of the population will have failed, MTTF, median, and