Recent content by estado3

thanks for the link, I am wondering at what stage we use the hazard function, I understand the p.d.f is used for a moment in time, while the c.d.f is used for a time period i.e 0< = T, at what stage do we need the hazard function?

Homework Statement Looking for a step by step online guide/tutorial/worked example showing equations for getting to the hazard function from the density function, the cumulative distribution function from the hazard function, and vice versa Homework Equations HT(t) = hazard function...

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Homework Statement A large population of nominally identical "fail to close" control valves are put into service on the same day on similar installations. The number of valve failures per month N was recorded over time and shown to be given approximately by the following equation Calculate...

My apologies maybe I should have stressed 0.009472 is the probability that the computer will be operational i.e will switch on i.e 1 - ((probability that the keyboard is damaged) + (probability that the cpu is faulty) + ( probability that the monitor will fail) - (p of monitor failing and...

Homework Statement The probability of a monitor not working is 0.005, the probability of a cpu faulty is 0.002, the probability of a keyboard damaged is 0.0025, what is the probability of the computer switching on? If you are then told that the conditional probability of the monitor not...

Homework Statement Assuming that the random time to failure of a relay is exponentially distributed with a failure rate lambda of 2 x 10^-7 per hour, determin ethe time intervals between failures(years) which have 99%, 95%, 50%, 1%, and 0.1% probabilities of being exceeded Homework...

Homework Statement I see my mistake, the second part of the question now says: In an attempt to provide additional reliability for the valve operation, two additional valves are now placed in series with the first valve on the pipeline described in question 2. Assuming that all failure...

Homework Statement I am trying to find the probability that a valve will be able to undergo one cycle of demand? Given that a particular type of remotely controlled mechanical valve can be assumed to have a probability of not opening, when closed, of 0.02 and a probability of not closing...

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Homework Statement Assuming a comp is switched on, the probability that the monitor is not working is 0.005, the probability that the CPU is faulty is 0.02, and the probability that the keyboard cable has been damaged is 0.0025, and that there are no other faults. Proceed to evaluate the...

The question then says that the conditional probability of the monitor not working given that the keyboard cable has been damaged is 0.05, and askes how it affects the answers the solution is 0.390459 but I am thinking that the probability of failure of the monitor is now 0.005 X 0.05...

Homework Statement Assuming a comp is switche don, the probability that the monitor is not working is 0.005, the probability that the CPU is faulty is 0.02, and the probability that the keyboard cable has been damaged is 0.0025, and that there are no other faults. Proceed to evaluate...