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1. In the exercise above, examine the impact of using a truncated exponential distribution Exp(λ) on the variance of the approximation of the tail probability.
2. Given an importance sample (Xi, f(Xi)/g(Xi)), show that if ωi has a Poisson distribution ωi ∼ P(f(Xi)/g(Xi)), the estimator
1/n Σni=1 wih(xi)
is unbiased. Deduce that the sample derived by this sampling mechanism is marginally distributed from f.
under what circumstances should you use a grouped frequency distribution instead of a regular frequency
(a) What proportion of time is the system shut down? (b) What is the (limiting) averaging number of components that are being repaired?
an average computer mouse inspector can inspect 45 mice per hour. the 42 computer mice inspectors at a particular
Based on the earnings below, is there sufficient evidence to conclude, at the 99% level of confidence, that one of these divisions is more profitable than the others? Calculate the mean square for factor, and the mean square for error.
One approach for defining elevated blood pressure is to use 90 mm Hg- the standard for elevated adult DBP- as the cutoff. What percentage of 17-year-old-boys would be found to have elevated blood pressure, using this approach?
assume that google is hiring employees on the different business days of the week monday through friday with equal
Determine the mean and the standard deviation of the sample.
Which of the z-scores below is the smallest one that leads to rejection of the null hypothesis - Identify the population to which the results of the test apply.
1.some researchers have conjectured that stem-pitting disease in peach tree seedlings might be controlled with weed and
What is the probability that a person is color blind, given that the person is a male?
You operate a delivery service in your local area, but you are thinking of expanding to another market. You're concerned that you might need to set different prices in the new market because the cost of gas might be much different.
How do you solve this problem: a researcher conducted a study of the access speed of 50 hard drives and concluded that his maximum error of estimate was 24.
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