Question

A system consists of two identical pumps, #1 and #2. If one pump fails, the system...

A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails | #1 fails) > P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 11% of all systems and both pumps fail during that period in only 5%, what is the probability that pump #1 will fail during the pump design life?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given Information:

We have given two identical pumps, say D1 and D2

The probability that at least one pump fails is 11%:

The probability that both pumps fail is 5%

If both pumps are the same:

We need to find the value of q, and it can be found by using the following formula:

The value of q can be calculated as follows:

Therefore, the probability that pump #1 will fail during the pump design life is 0.08

0 0
Know the answer?
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
Similar Questions
A system consists of two identical pumps, #1 and #2. If one pump fails, the system...
A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails | #1 fails) > P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 14% of all systems and both pumps fail during that period in...
5. A pumping system consists of two identical pumps connected in parallel, so that if either...
5. A pumping system consists of two identical pumps connected in parallel, so that if either pump fails, the system still operates. The probability that a pump will fail is during the period for which it was designed is 10% a. What is the probability that the system works throughout the period for which it was designed? b. How many pumps in parallel are needed if we want the probability that the system will work throughout its useful life is...
A pump curve provided by a manufacturer is given by h = 20[1 − (Q/100)2] where...
A pump curve provided by a manufacturer is given by h = 20[1 − (Q/100)2] where h is the head provided by the pump in meters and Q is the discharge in liters per minute. The system curve for a pumping application is h= 5+0.002Q2 (Q in liters per minute).Find the Operating point (Q) for •           one pump •           two pumps connected in series •           two pumps connected in parallel
A system consists of two components. P(the 1st component functions in satisfactory manner during its design...
A system consists of two components. P(the 1st component functions in satisfactory manner during its design life)=0.75, P(at least one of the two components functions in satisfactory manner during its design life)=0.86, and P(both component functions in satisfactory manner during its design life)=0.65. given that the second component functions in a satisfactory manner throughout its design life, What is the probability that the first one does also?
Engineers designing the next generation of space shuttles plan to include two fuel pumps —one active,...
Engineers designing the next generation of space shuttles plan to include two fuel pumps —one active, the other in reserve. If the primary pump malfunctions, the second is automatically brought on line (alpha = 2, because this is the setup for dealing with sum of 2 Exponential variables). Suppose a typical mission is expected to require that fuel be pumped for at most 50 hours. According to the manufacturer's specifications, pumps are expected to fail once every 100 hours (lambda...
A homogenous good industry consists of two identical firms (firm 1 and firm 2). Both firms...
A homogenous good industry consists of two identical firms (firm 1 and firm 2). Both firms have a constant average total cost and marginal cost of $4 per unit. The demand curve is given by P = 10 – Q. Suppose the two firms choose their quantities simultaneously as in the Cournot model. (1) Find and plot each firm’s best-response curve. (Be sure to clearly label your curves, axes and intercepts.) (2) Find each firm’s quantity and profit in the...
Two identical sealed containers (1 and 2) are connected to one another by a narrow tube...
Two identical sealed containers (1 and 2) are connected to one another by a narrow tube with a valve. Initially, the valve is closed, container 1 is filled with a fluid, and container 2 is empty. Both containers have a ruler taped to their sides in order to measure the height of any fluid they contain. A) . When the valve is opened for a time interval Δt, the level of the fluid in container 1 drops by 3 cm....
Background New pumper system equipment is under consideration by a Gulf Coast chemical processing plant. One...
Background New pumper system equipment is under consideration by a Gulf Coast chemical processing plant. One crucial pump moves highly corrosive liquids from specially lined tanks on intercoastal barges into storage and preliminary refining facilities dockside. Because of the variable quality of the raw chemical and the high pressures imposed on the pump chassis and impellers, a close log is maintained on the number of hours per year that the pump operates. Safety records and pump component deterioration are considered...
1. Two parallel-plate capacitors, identical except that one has twice the plate separation of the other,...
1. Two parallel-plate capacitors, identical except that one has twice the plate separation of the other, are charged by the same voltage source. Which capacitor has a stronger electric field between the plates? Which capacitor has a greater charge? Which has greater energy density? Explain your reasoning. 2. The charged plates of a capacitor attract each other, so to pull the plates farther apart requires work by some external force. What becomes of the energy added by this work? Explain....
1) One of the disadvantages of our current welfare system is that A) it works in...
1) One of the disadvantages of our current welfare system is that A) it works in the opposite direction of Rawl's view of justice. b) it provides incentives for the poor not to work. c) it gives the poor too much money. D) it is biased in favor of rich people. 2) Say 6 homogenous consumers have individual willingness to pay P = 20 - 4Q. If the marginal cost of providing Q is 6Q, the optimal amount of Q...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT