ZuoTi.Pro
Question

A machine has four components, A, B, C, and D, set up in such a manner...

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) = 0.98, P(C) = 0.97, and P(D) = 0.9. Find the probability that at least one of the four parts will work. Round to 4 decimal places.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Here we have Nom at Reast one of them w work _ [E(1-0.gf)x(1-0.99) x Ilーอ.99)x()-0 1.0000

0 0
Add a comment
Know the answer?
Add Answer to:
A machine has four components, A, B, C, and D, set up in such a manner...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 7) A product is made of four identical components. In order for the product to function...

    7) A product is made of four identical components. In order for the product to function properly all of the components must function. All components have equal performance probabilities. The product probability of performance is 0.98. What is the minimum probability of performance by each of the four components? a)         0.9       b)         0.854   c)         0.879   d)         0.638   e)         0.995

  • There are four washing machines in an apartment complex: A, B, C, D. On any given...

    There are four washing machines in an apartment complex: A, B, C, D. On any given day the probability that these machines break down is as follows: P(A) = 0.04, P(B) = 0.01, P(C) = 0.06, P(D) = 0.01 . Assume that the functionality of each machine is independent of that of others. What is the probability that on a given day at least one machine will be working?

  • Suppose you have four cars, A, B, C, D, respectively. On a given day, the probability...

    Suppose you have four cars, A, B, C, D, respectively. On a given day, the probability that your car will not work properly is P(A)=.04, P(B)=.01, P(C)= .06, P(D)=.01. If whether or not the car functions is independent of one another, what is the probability that on that given day at least one car is working properly? Show all work.

  • 1.  If the probability that C fails is 0.1 and the probability that D fails is 0.12,...

    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 device consists of 100 independent modules of equal functionality. Zk is the event that the...

    A device consists of 100 independent modules of equal functionality. Zk is the event that the kth group works reliably. a) What is the probability that the device will work reliably at P (Zk) = 99%? There are four independently operating machines in a hall, which do not fail within a certain period of time with the probabilities 0.9, 0.95, 0.8 and 0.85, respectively. Calculate the probability that in this period a) all four machines work b) no machine works...

  • A system consists of three components A, B and C, which fails independently with probabilities 0.2,...

    A system consists of three components A, B and C, which fails independently with probabilities 0.2, 03 and 0.2. Let X be the total number of failed components. (a) Find the probability distribution of X. (b) What is the probability that at least one component is working. (c) Find E(X^3 − 1). 3. (7 points) A system consists of three components A, B and C, which fails independently with probabilities 0.2, 03 and 0.2. Let X be the total number...

  • Copykwik has four photocopy machines: A, B, C, and D. The probability that a given machine...

    Copykwik has four photocopy machines: A, B, C, and D. The probability that a given machine will break down on a particular day is given below. P(A) = 1 55     P(B) = 1 58     P(C) = 1 80     P(D) = 1 40 Assuming independence, what is the probability on a particular day that the following will occur? (a) All four machines will break down (Round your answer to ten decimal places.) (b) None of the machines will break down (Round...

  • The probability of A, B, C, and D all equal .98. Please show calculations. 2.3 Conditional...

    The probability of A, B, C, and D all equal .98. Please show calculations. 2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...

  • A system consists of four components connected as shown in the following diagram: Assume A, B,...

    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.

  • Suppose a computer system is assembled out of 100 components, and these are completely assembled before...

    Suppose a computer system is assembled out of 100 components, and these are completely assembled before the power is ever applied. Assume that the computer fails to work properly if any component fails a) the rate of defects or each component of the system is only 0 22%, what is the probability that the assembled computer works when switched on, assuming the components are independent? b) For the probability that the system works to be 99% what is the largest...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT