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Show that for any metric space S, if A ⊂ S and x ∈ A\ A, then there is a bounded, continuous real-valued function on A which cannot be extended to a function continuous on A∪{x }. Hint: f (t ) := sin(1/t ) for t > 0 cannot be extended continuously to t = 0.
Compute an exponentially smoothing forecast using an alpha value of .30. Compute an adjusted exponentially smoothed forecast (alpha = .30 and beta= .20).
we wish to test the null hypothesis the average amount of fat content in all single servings of vivolis hazelnut gelati
life expectancies for men and women were measured by country. it was found that the average male life expectancy was
What has been the most valuable skill you've learned and why
for the following claim find the null and alternative hypothesis test statistic pvalue critical value and draw a
Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.) Use the five steps of hypothesis testing and explain your findings.
suppose x and y have joint density fxy 10x2y when 0 lt y lt x lt 1.a find the marginal densities of x and y and theb
the probability of a student getting a a grade in an economics class is .24 and that of getting a b grade is .28. what
Labor negotiations estimate that 30 percent of all major contract negotiations result in a strike. During the next year, 12 major contracts must be negotiated. Determine the following probabilities.
A central university has a student population of 60,000. The university is interested in determining what proportion of them is in favour of a new grading system.
a publisher wants to estimate the mean length of time in minutes all adults spend reading newspapers online. to
Suppose that this test is given to 1000 students. What is the number of students that are expected to make scores between 170 and 230?
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