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Assume that X(t) is the sum of a deterministic quantity Q and a wide sense stationary noise process N(t). Determine the following:
a. the mean of X(t)
b. the autocorrelation function of X(t)
c. the autocovariance function of X(t)
In multi-choice test, each question has four options. Students wil get 10 points for each correct answer; lose four points for each incorrect answer; and receive no points for unanswered questions.
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?
Explain the distinction between the regression line for the sample and the regression line for the population in this situation.
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and coin shows a head.
A certain police officer stops cars for speeding. The number of red sports cars she stops in one hour is a Poisson process with rate 4, while the number of other cars she stops is a Poisson process with rate 1.
Find the expected value and the variance of the total waiting time in a typical week. State any assumptions needed for the validity of your calculations.
assume that 1300 births are randomly selected and exactly 331 of the births are girls. use subjective judgement to
The Genetics & IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using XSORT method, and 239 of them were boys. Use a 0.01..
After an unusually dry autumn, a radio announcer is heard to say, "Watch out! We'll pay for these sunny days later on this winter." Explain what he's trying to say, and comment on the validity of his reasoning.
Suppose that a mortality table used to calculate reserves is altered. Explain how the reserves will be affected, for whole life policies with a constant death benefit and level premiums.
considering that a researcher can test at the ltp .05 95 p .01 99 or p .001 99.9 level for statistical significance
Shower time (1.3, 2.2, 6.3, 7.3) Marcella takes a shower every morning when she gets up. Her time in the shower varies according to a Normal distribution.
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