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A component is known to have an exponential time-to-failure distribution with a mean life of 10,000 hours.
(a) What is the probability of the component lasting at least 8000 hours?
(b) If the component is in operation at 9000 hours, what is the probability that it will last another 6000 hours?
(c) Two such components are put in parallel, so that the system will be in operation if at least one of the components is operational. What is the probability of the system being operational for 12,000 hours? Assume that the components operate independently.
Is there evidence of a difference in the variability of the waiting time between the two branches? (Use 5% level of significance). Find the p-value in (a) and interpret its meaning.
a genetic experiment involving peas yielded one sample of offspring consisting of 402 green peas and 178 yellow peas.
The following data are annualized returns on a group of 15 stocks.- Find the median, the first and third quartiles, and the 55th and 85th percentiles for these data.
astudy of 31000 hospital admissions in new york state found that 4 of the admissions led to treatment-caused injuries.
To help the manufacturer get a clear picture of type I and type II error probabilities, draw a ß versus α chart for sample sizes of 30, 40, 60, and 80. If ß is to be at most 1% with α = 5%, which sample size among these four values is suitable?
Analyze the Regression and draw the scatter plot for results of the Hsp90 affinity and Her-2 degradation studies.
Empirical research was conducted to investigate the variables that impact the size distribution of manufacturing firms in international markets (World Development, Vol. 20,1992).
What is the probability that a randomly chosen bill is from the East?- What is the probability that a randomly chosen bill is either from the Midwest or from the South?
a binomial probability experiment is conducted with the given parameters. compute the probability of x successes in the
insurance companies track life expectancy information to assist in determining the cost of life insurance policies.
a local unemployment office keeps track of the number of new claims filed each day. based on data collected it
When only the value-added time is considered, the time it takes to build a laser printer is thought to be uniformly distributed between 8 and 15 hours.
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