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Suppose we identify a 5~8 year old child with influenza in the village but are uncertain whether the child was vaccinated. Based on the same assumptions in (b) and (c), then what's the probability the child was vaccinated?
Yet in the city as a whole, about 29%of the eligible jurors were women. Let p denote the probability that a juror drawn by the judge is a woman. Then to test the judge’s fairness in selecting women, what null hypothesis should be? What alternative hy..
(Convergence of the Subgradient Method) Consider the subgradient methodand q∗ is the optimal dual cost (this stepsize requires knowledge of q∗, which is very restrictive, but the following Exercise 10.37 removes this restriction).
A pair of dice is tossed once. Let X denote the sum of the face values, and let Y denote the absolute value of the difference between the face values.
Write a short paragraph that traces the rise of Japan from an isolated society to a major industrial and imperial power.
For any sample size, on average what proportion of people do we expect to have been born in the winter?
Two students at a university were to take a mid-term test in statistics. The night before the test the two students went to a party in another town and did not get back to the university in time for the test. They gave as an excuse to the lecturer..
Using the standard deviation estimate of 1.8 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch?
The Normal distribution with mean μ= 25.0 and standard deviation σ=6.4 is a good description of the total score on the Medical College Admission Test (MCAT). This is a continuous probability model for the score of a randomly chosen student. Call t..
For the various organ transplants performed in the United States in 2003, the probability of surviving for at least a year was 0.98 for kidney transplants
The hazard rate of the failure time is a constant 0.10 and the force of interest is a constant 0.05. If Z is the present value of the benefits, find the probability that: (a) 0 Z ≤ 0.5, (b) 0 ≤ Z ≤ 0.5 and (c) 0 ≤ Z ≤ 0.7.
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
in the week before and the week after a holiday there were 10000 total deaths and 4979 of them occcured in the week
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