Question

3. Consider the system in the diagram. Subsystem A functions with probability 0.8 and Subsystem B...

3. Consider the system in the diagram. Subsystem A functions with probability 0.8 and Subsystem B functions with probability 0.6. The entire system functions if either A or B function. Moreover, A and B are independent of each other. a. (3 points) What is the probability that both Subsystem A and Subsystem B function? c. (3 points) What is the probability that neither Subsystem A nor Subsystem B function? d. (3 points) What is the probability that the entire system functions?

Homework Answers

Answer #1

3)

a)

Required probability =

b)

Required probability =

c)

Required probability =

------------------------------------

DEAR STUDENT,

IF YOU HAVE ANY QUERY ASK ME IN THE COMMENT BOX,I AM HERE TO HELPS YOU.PLEASE GIVE ME POSITIVE RATINGS

*****************THANK YOU***************

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An electronic system consists of five subsystems with the following MTBFs: Subsystem A: MTBF = 12,500...
An electronic system consists of five subsystems with the following MTBFs: Subsystem A: MTBF = 12,500 h Subsystem B: MTBF = 2830 h Subsystem C: MTBF = 11,000 h Subsystem D: MTBF = 9850 h Subsystem E: MTBF = 15,550 h The four subsystems (A, B, C, D) are arranged in a series configuration and E in Parallel. What is the probability of survival for an 850 h operating period for the whole system?
Let A and B be two events such that P(A) = 0.8, P(B) = 0.6 and...
Let A and B be two events such that P(A) = 0.8, P(B) = 0.6 and P(A  B) = 0.4. Which statement is correct? a. None of these statements are correct. b. Events A and B are independent. c. Events A and B are mutually exclusive (disjoint). d. Events A and B are both mutually exclusive and independent. e. Events A and B are the entire sample space.
A and B are two independent events. The probability of A is 1/4 and Probability of...
A and B are two independent events. The probability of A is 1/4 and Probability of B is 1/3. Find the Probabilities Neither A nor B occurs Both A and b occurs Only A occurs Only B occurs At least one occurs
The electrical system for an assembly line has four components arranged in two parallel subsystems as...
The electrical system for an assembly line has four components arranged in two parallel subsystems as shown in the diagram below. Each of the four components (labeled 1, 2, 3, 4) are independent and each has a 10% chance of failure. Because the components are independent, the two subsystems (labeled A and B) are also independent. If one component in a subsystem fails, then the whole subsystem fails because the power cannot get through. However, because there are two subsystems,...
Consider an experiment where 2 balls are drawn from a bin containing 3 red balls and...
Consider an experiment where 2 balls are drawn from a bin containing 3 red balls and 2 green balls (balls are not replaced between drawn). Define the events A, B, and C as follows: A = both balls are red, B = both balls are green, C = first ball is red A.) what is the sample space for this experiment (make a tree diagram if needed)? B.) What is the probability associated with each of the sample points? C.)...
Find the probability that the entire system works properly. The primary air exchange system on a...
Find the probability that the entire system works properly. The primary air exchange system on a proposed spacecraft has four separate components (call them A,B,C,D) that all must work properly for the system to operate well. Assume that the probability of any one component working is independent of the other components. It has been shown that the probabilties of each component working are P(A)=0.95, P(B)=0.90, P(C)=0.99 and P(D)=0.90.
An aircraft system is modeled as being comprised of (3) independent subsystems - each critical -...
An aircraft system is modeled as being comprised of (3) independent subsystems - each critical - with reliability as follows: – Electrical => 15% probability of failure – Mechanical/Hydraulic => 10% probability of failure – Fuel/Powerplant => 5% probability of failure Assuming all independent subsystem components have the same reliability as previously stated, what is the overall reliability of this modified aircraft system?
A k out of n system is one in which there is a group of n...
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 system, assume that on a rainy day each component has probability 0.4 of functioning, and that on a nonrainy day each component has probability 0.8 of functioning. a) What is the probability that the system functions on a rainy day? b) What is...
A peculiar die has the following properties: on any roll the probability of rolling either a...
A peculiar die has the following properties: on any roll the probability of rolling either a 4, a 5, or a 3 is 12, just as it is with an ordinary die. Moreover, the probability of rolling either a 3, a 2, or a 1 is again 12. However, the probability of rolling a 3 is 14, not 16 as one would expect of an ordinary fair die. From what you know about this peculiar die, compute the following. a....
Consider the following probability distribution table: X 1 2 3 4 P(X) .1 .2 .3 .4...
Consider the following probability distribution table: X 1 2 3 4 P(X) .1 .2 .3 .4 If Y = 2+3X, E(Y) is: A.7 B.8 C.11 D.2 19. If Y=2+3X, Var (Y) is: A.9 B.14 C.4 D.6 20. Which of the following about the binomial distribution is not a true statement? A. The probability of success is constant from trial to trial. B. Each outcome is independent of the other. C. Each outcome is classified as either success or failure. D....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT