Question

In: Statistics and Probability

Which system, (a) or (b), has the higher reliability at the end of 100 operating hr?...

Which system, (a) or (b), has the higher reliability at the end of 100 operating hr? The higher reliability in the answer put it in the answer box using five decimals.

(a) Three CFR components in parallel, each having an MTTF of 1000 hr.

(b) A Weibull component with a shape parameter of 2 and a characteristic life of 10,000 hr in series with a CFR component with a failure rate of 0.00005.

Solutions

Expert Solution

ANSWER

i)

The relaibility of system wit exponential failure time is

and .

The reliability of a single componet after 100 hours is

The reliability of the Three components connected in parallel is

R1(100)=1-(1-R(100))3

R1(100)=1-(1-0.9048)3

R1(100)=0.99914

ii)

Reliability function of Weibull distribution is

The shape parameter is /

The reliability of the Weibull component after 100 hours is

The reliability of the component connecetd in series with the above component is

The reliability after 100 hours of the series system is

So the second system has higher rteliability since .

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

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***************


Related Solutions

Consider Asset A and B, which asset has higher systematic risk? Which one has higher total...
Consider Asset A and B, which asset has higher systematic risk? Which one has higher total risk? Show your calculations. Assume the market risk premium is 8 percent, the risk-free rate is 4 percent, and the capital asset pricing model holds. (Rounding your answers to four decimal places) State of Economy Probability of State of Economy Rate of Return if State Occurs Asset A Asset B Recession 0.10 0.02 -0.25 Normal 0.70 0.25 0.09 Irrational exuberance 0.20 0.05 0.40
b. Briefly explain the way in which technology has changed the form and reliability of audit...
b. Briefly explain the way in which technology has changed the form and reliability of audit evidence.
Perpetuity A pays $100 at the end of each year. Perpetuity B pays $25 at the end of each quarter.
Perpetuity A pays $100 at the end of each year. Perpetuity B pays $25 at the end of each quarter. The present value of perpetuity A at the effective rate of interest is $2,000. What is the present value of perpetuity B at the same annual effective rate of interest i?
1. Suppose Bond A has higher default risk than Bond B. Which bond should have the...
1. Suppose Bond A has higher default risk than Bond B. Which bond should have the higher interest rate? Why? 2. Currently a number of industries are facing higher risk of default on bonds due to underperformance from COVID-19. Suppose the government announces next day that it will guarantee all corporate bonds and pay the creditors if the companies fail to do so in the future. Explain the mechanism how the government guarantee will affect the default risks, demands, prices,...
Suppose a chemical reaction is first order and has a half-life of 2.5 hr at 100...
Suppose a chemical reaction is first order and has a half-life of 2.5 hr at 100 ºC.  Which of the following statements is false regarding this reaction if the temperature is changed?   Question 5 options: A) The half-life at 125 ºC is 1.8 hr.   B) The half-life at 275 ºC is 3.5 hr.   C) The half-life at 75 ºC is 4.7 hr.    D) Not enough information has been provided in order to make a conclusion.
(Operating System CSE) Consider a file system in which a file can be deleted and its...
(Operating System CSE) Consider a file system in which a file can be deleted and its disk space reclaimed while links to that file still exist. What problems may occur if a new file is created in the same storage area or with the same absolute path name? How can these problems be avoided?2)Consider a file systemthat uses a modifiedcontiguous-allocation scheme with support for extents.A file is a collection of extents, with each extent corresponding to a contiguous set of...
Problem #3: Company A (100% equity) is valued at $15,000,000 and Company B (which has $3,000,000...
Problem #3: Company A (100% equity) is valued at $15,000,000 and Company B (which has $3,000,000 in long debt with an interest rate of 8%). The tax rate is 30%. Both A & B have identical after-tax profit $1,200,000 and it is given that both have identical operating risk profile and identical pretax income. Assume ReA should is 12%. Calculate: Value of B Capital Structure Mix of B Cost of capital for A & B
To the end of a 50 cm long string, a ball of 100 g, which is...
To the end of a 50 cm long string, a ball of 100 g, which is swinging under a vertical circle under the influence of gravity, is tied. When the rope makes an angle = 12 ° with the ball, the ball has a speed of 2.2 m / s. a) Find the current Radial component of the acceleration (ar) b) When angle = 18 °, find the magnitude of the tangential acceleration (at). c) Find the magnitude of the...
Part B: Which is higher, the initial state energy or the final state energy of the...
Part B: Which is higher, the initial state energy or the final state energy of the atom if n=1, n′=3? Part C: For the hydrogen transition indicated below, with n being the initial state and n′ being the final state, is the transition an absorption or an emission? n=6, n′=2. Part D: Which is higher, the initial state energy or the final state energy of the atom if n=6, n′=2? Part E: For the hydrogen transition indicated below, with n...
A simple saturation cycle of refrigeration system is operating on R22. This system has an evaporator...
A simple saturation cycle of refrigeration system is operating on R22. This system has an evaporator pressure of 350 kPa, condensing pressure of 1550 kPa and a discharge temperature of 80°C. Degree of sub cooling of 8 K and degree of superheat of 5 K. Draw p – h diagram and calculate the following. a. Refrigeration Effect. b. Refrigerant mass flow rate, at a plant capacity of 196 kW. c. Power input into the compressor. d. Coefficient of performance of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT