Question 1 20 pts Given components with the following reliabilities A-0.99,B-0.98, and C=0.97. assume the components...
Question 5 20 pts Given components with the following reliabilities, A-0.99,-0.98, and C0.97. The components A, B, and are connected in series. What is the reliability of the system? (round to 2 decimal places) O 0.94 O 0.96 O 0.97 O 0.93
A system is composed of three components. Two of the components are in parallel reliabilities of 0.98 and 0.99. The third component has a reliability if 0.97 and is in series with the first combination. What is the overall system reliability? a) 0.945 b) 0.873 c) 0.696 d) 0.949 e) none of the above
Question 3 20 pts A system has three components with reliability values A, B, and C. The reliability of the system. R. can be calculated using the equation 1.R - A+B+C 2.R-AxBxC 3. Insufficient Information has been provided. 4. R = 1 - (1 - A)(1-B1-C)] 04 O 2 U Question 4 20 pts A system is made up of four independent components in series each having a failure rate of .005 failures per hour. If time to failure is...
[Question 4: 20 points) Find the system reliability of the following series-parallel configurations using component reliabilities. 0.75 0.80 0.90 0.75 0.90 0.80 0.80 0.90 0.9 (b)
1. If the probability that C fails is 0.1 and the probability that D fails is 0.12, find the probability that the system functions. Round the answer to four decimal places. 2. If both C and D have probability p of failing, what must the value of p be so that the probability that the system functions is 0.98? 3. If three components are connected in parallel, function independently, and each has probability p of failing, what must the value of...
A piece of equipment contains 20 components of Type A, 15 of Type B, and 10 of Type C. The probability of operating successfully in its first 5000 hours of use is 0.98 for Type A components, 0.97 for Type B components, and 0.96 for Type C components. Assuming all components operate independently, what is the probability that every component operates successfully in its first 5000 hours of use? Write your answer as a decimal rounded to 4 places.
A system consists of four components connected as shown in the following diagram: Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.11, 0.05, 0.11, and 0.17, respectively, what is the probability that the system functions? Round the answer to four decimal places.
Question 4 [20 marks] A system consists of five components in two branches as shown in the following diagram: C-D-E- In other words, the system works if components A and B work or components C, D, and E work. Assume that the components fail independently with the following probabilities: P(A fails) = P(B fails) = 0.1 and P(C fails) = P(D fails) = P(E fails) = 0.2. (a) What is the probability that the system works? (b) Given that the...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsyslern works if and onlyif either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P component i works 0.74 for , 1, 2 and-0.71 for ī-3, 4 calculate P ystem works). (Round your answer to...
Question Help The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 9.2% daily failure rate Complete parts (a) through (d) below. What is the probably that the student's alarm clock will not work on the morning of an important final exam? Round to three decimal places as needed) b. I the student has two suchalarm clocks, what is the probability that they both tall on...