2.93 A circuit system is given in Figure 2.11. Assumethe components fail independently.(a) What is the probability that the entire systemworks?(b) Given that the system works, what is the probabil-ity that the component A is not working?

Determine the reliability of the system of components

A system starts working at time t = 0. Its lifetime has approximately a normaldistribution with mean value μ = 120 and standard deviation σ = 24 *hours+. After afailure, the system is replaced by an equivalent new one in negligible time andimmediately resumes its work. How many spare systems must be available in order tobe able maintain the replacement process over an interval of length 1000 hours(1) with probability 0.60?(2) with probability 0.79 ?

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that at most 2 of these parts are defective.Do not round your intermediate computations, and round your answer to three decimal places.

Solve the following defective rate problem using the concepts learned about the geometric distribution. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. The production is considered a random process where each transistor is independent of the others.(1) What is the probability that the 10th transistor produced is the first with a defect?(2) What is the probability that the machine produces no defective transistors in a batch of 100?(3) On average, how many transistors would you expect to be produced until the first with a defect? What is the standard deviation?(4) Another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. On average how many transistors would you expect to be produced with this machine before the first with a defect? What is the standard deviation?(5) Based on your answers to parts (c) and (d), how does increasing the probability of an event affect the mean and standard deviation of the wait time until success?

Which of the following is not a framework that can be used to reduce the probability of system failure happening?Question 3Select one:a.Technical Controlb.Strategic Controlc.Operational Controld.Management Controle.None of the these