4. An electrical system consists of identical components that are operational with probability pindependently of other components. The components are connected in three subsystems, asshown in the Figure 1. The system is operational if there is a path that starts at point A,ends at point B, and consists of operational components. This is the same as requiring thatall three subsystems are operational. What are the probabilities that the three subsystems,as well as the entire system, are operational?ВFigure 1: A system of identical components that consists of the three subsystems 1, 2, and 3. The system isoperational if there is a path that starts at point A, ends at point B, and consists of operational components.

Answered: Image /qna-images/answer/6ac48c10-1858-454c-ac85-8584a601ea2d.jpg

Answered: 4. An electrical system consists of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Two people, A and B, are competing for the control of a corporation. The probabilities that these two people will win are 0.7 and 0.3, respectively. If A wins, the probability of introducing a new product is 0.8; if B wins, the corresponding probability is 0.4. a) What is the probability that a new product will be introduced? b) If a new product is introduced, what is the probability that B won the competition?
7. PAGASA is planning to place at five rain gauge in different locations within Metro Manila. The rain gauge in different location R1, R2, R3, R4 and Rs will operate 0.45, 0.30, 0.20, 0.25 and 0.30, respectively, at a time. If rain pours in those locations has probabilities of 0.2, 0.1, 0.3, 0.2, and 0.2, respectively, what is the probability that it will operate and measure rain water?
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A1) = 0.10 P(A2) = 0.07 P(A3) = 0.06P(A1 ∪ A2) = 0.11 P(A1 ∪ A3) = 0.13P(A2 ∪ A3) = 0.11 P(A1 ∩ A2 ∩ A3) = 0.01 (c) Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect? (Round your answer to four decimal places.) (d) Given that the system has both of the first two types of defects, what is the probability that it does not have the third type of defect? (Round your answer to four decimal places.)
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (22)%, and (13)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2?
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (20+I)%, and (10+H)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2? H is 3 and I is 2
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
A retailer of automobile parts has four employees, K, L, M, and N, who make mistakes in filling an order one time in 100, four times in 100, two times in 100, and six times in 100. Of all the orders filled, K , L, M, and N fill, respectively, 20%, 40%, 30%, and 10%. If a mistake is found in a particular order, what are the probabilities that it was filled by K, L, M, or N?
A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.95, P(C) = 0.91, and P(D) = 0.96. Find the probability that at least one of the four parts will work. Round to six decimal places.
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components areoperating. Assume that the components operate independently. Find the probability that;(a) Exactly two of the four components last longer than 1000 hours. (b) The subsystem operates longer than 1000 hours
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL
8 -The probability of an investor to invest his savings in foreign currency is 0.45, the probability of investing in gold is 0.42, and the probability of buying government bonds is 0.37. In addition, the probability of investing in foreign currency and gold together is 0.10, the probability of buying both foreign currency and government bonds is 0.12, the probability of buying both gold and government bonds is 0.20, and the probability of buying all three is 0.05. What is the probability that this investor will invest his savings in foreign currency or not in gold?a)0.65 B)0.05 NS)0.58 D)0.78 TO)0.35

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS