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Problem: Suppose X1,... Xn are i.i.d. samples from a geometric distribution with ?f(x|θ)=θ(1-θ)?x??? for x=0,1,2... and ?0≤θ≤1?. Set ?η=1/θ? . Does the MLE of ?η? attains the Cramer-Rao lower bound?
Stock 2 closing price over last month has the mean of 59.2 and the standard deviation of 3.3. Determine which has higher coefficient of variation?
a small company involved in e-commerce is intersted in statistics concerning the use of e-mail. a poll found that 39 of
an airline wants to estimate the average number of unoccupied seats per flight. a random sample of 105 flights is
A contractor developed a multiplicative time series model to predict the number of contracts in future quarters, using quarterly data on number of contracts during the 3-year period from 1996 to 1998.
Stanford Binet IQ scores have a mean of 100 and a standard deviation of 15. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score.
The second plane's speed is also normally distributed with mean and standard deviation 500and 10,respectively. What is the probability that plane 2 did not catch up to plane one after two hours of flight?
a company claims that a new commission policy has resulted in average weekly earning of pound380. a random sample of
If the average number of textbooks in a professors' offices is 16, the standard deviation is 5, and the average age of professors is 43, with a standard deviation of 8, which data set is more variable, the textbooks or the age? Calculate the coeff..
Another ball is drawn (it is assumed that n is less than M). What is the probability that it will be white?
(Duality Gap of the Knapsack Problem) Given objects i = 1,...,n with positive weights wi and values vi, we want to assemble a subset of the objects so that the sum of the weights of the subset does not exceed a given T > 0, and the sum of the valu..
The proportion of participants registering strong disapproval was 65%. At the 95% confidence interval and using a two-sided test, which of the following statements do these data support?
Verify the given sums Sx, Sy, Sx2, Sy2, Sxy and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
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