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1. The time to failure (in years) of a Cyclone 365 computer has the probability density function
(a) If three of these computers are placed in parallel aboard the proposed space station, what is the system reliability for the first 6 months of operation?
(b) What is the system design life in days if reliability of a 0.999 is required?
(c) What is the system reliability for 6 months if two out of the three computers must function?
2. Find the system reliability of the following series-parallel configurations. Component reliabilities are given.
3. A repairable system consists of three non-identical components A, B,C , all of which must work for system success. When one component fails, no further component failures can occur. Construct the relevant state space diagram and hence evaluate general expressions for the Individual limiting state probabilities in terms of the component failure and repair rates. Evaluate the unavailability of the system in hours/year if the three components have thefollowing Reliability data.
Component Failure Rate(/yr) Repair rate (/yrA 1.0 365B 0.1 12C 0.5 52
How many more students should be included in the sample to be 99% sure the sample mean x is within $7 of the population mean u for all students at this college?
A) Describe the term population. B) Describe the term random sample. C) What is the difference between a population and a random sample?
What probability distribution does n1 alone have? Specify the values of the sample size index and parameter for that distribution
A medical school claims that more than 32% of its students plan to go into general practice. It is found that among a random sample of 130 students, 46 of them plan to go into general practice.
Is it ok to change the level of significance to 0.05, because at that level you would be able to reject the null and accept the alternate?"
let x have an exponential distribution with mean sigma.a find the first quartile q1b how far is the first quartile
another summary measure is the age-adjusted mean which is an estimate of the mean fvc value in a reference population
A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years with a standard deviation of 2 years. Is there evi..
A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 75.0 and 90.0.
sparr investments inc. specializes in tax-deferred investment opportunities for its clients. recently spar offered a
How many dieters must be surveyed if we want to be 95% confident that the sample mean weight loss is within 0.25 pound of the true population mean? Assume that the population standard deviation is known to be 10.6 lb.
You're a risk manager of ABC company and you are reevaulating your insurance contract. Your insurer has informed you that the expected value of frequency per month for ABC is 2.43.
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