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Suppose we are allowed to observe a random process Z (t) t at two points in time, and t0 and
Based on those observations we would like to estimateZ (t) at time where We can view this as an interpolation problem. Let our estimator be a linear combination of the two observations,
(a) Use the orthogonality principle to find the MMSE estimator.
(b) Find an expression for the mean square error of the MMSE estimator.
in a group of 15 batteries 6 are dead. you chose 2 at random. the expected number of good batteries is 1.2. what is the
Portfolio B's yearly return is normally distributed with a mean of 0.04 and a standard deviation of 0.06. Based on this information, what is the probability that over the next year, the return on portfolio A is lower than the return on portfolio B?
The University of Ghana in Legon, Ghana, was established in 1948 as an affiliate college of the University of London called University College of the Gold Coast. In 1961 the university was reorganized by an act of Parliament into what it is today:..
one out of 5000 individuals in a population carried a defective gene. a random sample of 1000 individuals is studied.
suppose two dice are rolled. let x be the random variable measuring the sum of the two numbers rolled.a find the
Calculate the standard deviation of the number of available rooms in that sample. Use the central limit theorem to calculate and identify the sampling distribution of the sample mean.
assume that the heights of bookcases are normally distributed. a random sample of 16 bookcases in one company have a
the wind mountain archaeological site is located in soutwestern new mexico. wind mountain was home to a culture of
(b) How often does each integer between 1 and 12 appear in the sequence generated in part (a)? (c) Without performing additional calculations, indicate how x13, x14, . . . will compare with x1, x2, . . . .
A venture capitalist invests in one firm of each type. Assume the companies function independently. What is the probability that both companies become profitable?
you are given the following information obtained from a random sample of 4 observations from a large normally
In case of fire, the probability that D1 operates correctly is 0.95 and the probabilty that D2 operates correctly is 0.92. Find the probability that the sprinkler system will come on.
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