A certain computer becomes inoperable if two components A and B both fail. The probability that...

Question

Question

A certain computer becomes inoperable if two components A and B both fail. The probability that...

A certain computer becomes inoperable if two components A and B both fail. The probability that A fails is 0.016 and the probability that B fails is 0.049. However, the probability that B fails increases by a factor of 9 if A has failed.

Calculate the probability that computer A fails if B has failed.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Solution Ginen, P(A)=0.016 PBJ0.049 The Probobality that computer A fail it B has failed =P(A/B) = plano) P (B] E POBIA )x PC

Add a comment

Answer 2

Similar Homework Help Questions

A certain computer becomes inoperable if two components A and B both fail. The probability that...

A certain computer becomes inoperable if two components A and B both fail. The probability that A fails is 0.016 and the probability that B fails is 0.043. However, the probability that B fails increases by a factor of 9 if A has failed. Calculate the probability that computer A fails if B has failed. Answer [The answer should be a number rounded to five decimal places, don't use symbols such as %]
A certain computer becomes inoperable if two components A and B both fail. The probability that...

A certain computer becomes inoperable if two components A and B both fail. The probability that A fails is 0.018 and the probability that B fails is 0.043. However, the probability that B fails increases by a factor of 7 if A has failed. Calculate the probability that the computer becomes inoperable. [The answer should be a number rounded to five decimal places, don't use symbols such as %]
A certain computer becomes inoperable if two components A and B both fail. The probability that...

A certain computer becomes inoperable if two components A and B both fail. The probability that A fails is 0.014 and the probability that B fails is 0.039. However, the probability that B fails increases by a factor of 8 if A has failed. Calculate the probability that computer A fails if B has failed. [The answer should be a number rounded to five decimal places, don't use symbols such as %]

Please Solve As soon as Solve quickly I get you thumbs up directly Thank's Abdul-Rahim Taysir...

Please Solve As soon as Solve quickly I get you thumbs up directly Thank's Abdul-Rahim Taysir PROBABILITY AND ENGINEERING STATISTI Dashboard / My courses / PROBABILITY AND ENGINEERING STATISTICS-1194-meta / Chapter Or Question 1 Quiz n tion Not yet answered 1 2. A certain computer becomes inoperable if two components A and B both fail. The probability that A fails is 0.012 and the probability that B fails is 0.026. However, the probability that B fails increases by a factor...
4. The amount of time T (in hours) that a certain electrical component takes to fail...

4. The amount of time T (in hours) that a certain electrical component takes to fail has an exponential distribution with parameter > 0. The component is found to be working at midnight on a certain day. Let N be the number of full days after this time before the component fails (so if the component fails before midnight the next day, N = 0). (a) What is the probability that the component lasts at least 24 hours? (b) Find...
The probability that a certain kind of component will survive a shock test is .8. 1. Find the probability that exactly 2 of the next 6 components you test will survive. 2. What is the probability that...

The probability that a certain kind of component will survive a shock test is .8. 1. Find the probability that exactly 2 of the next 6 components you test will survive. 2. What is the probability that you must test 8 components to find two that fail? 3. What is the probability that the 4th component you test is the first one that fails the test? 4. Out of a group of 100 components, 20 would fail a shock test....

Question 2 (6 points) A system contains two components, A and B, connected in series, as...

Question 2 (6 points) A system contains two components, A and B, connected in series, as shown in the diagram. Assume A and B function independently. For the system to function, both components must function. a. If the probability that A fails is 0.05, and the probability that B fails is 0.03, b. If both A and B have probability p of failing, what must the value of pbe so c. If three components are connected in series, and each...
A device runs until either of two components fails, at which time the device stops running. The j...

A device runs until either of two components fails, at which time the device stops running. The joint probability density function of the lifetimes of the two components, both measured in hours, is given by Ш for 0 < z < 3 and 0SyS3, xy(,y)27 0 otherwise. (a) 6 points Find the marginal probability density function for the random variable X. (b) [8 points] Are X and Y independent random variables? Justify your answer. (c) 6 points] Calculate the probability...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming...

Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...

Assume that an engineering system can fail due to a maintenance error caused by factors such...

Assume that an engineering system can fail due to a maintenance error caused by factors such as poor equipment design, inadequate training, poor work environment, use of deficient maintenance manuals, or inadequate work tools. Two major factors for poor equipment design are oversight or “no formal consideration of the occurrence of maintenance error”. The “no formal consideration to the occurrence of maintenance error” factor can be caused by either no requirement in design specifications or insufficient allocated funds. Two important...

A certain computer becomes inoperable if two components A and B both fail. The probability that...

Homework Answers