1 ie 5.59. Find the harmonic mean of 3 3 'n occurring with frequencies 1, 2, 3, ..., n respectively. 4 **** n + 1 UC W 4 (Foundation) Lung 2006
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ie 5.59. Find the harmonic mean of
2 3
2'3' 4'
'n
occurring with frequencies
n + 1
1, 2, 3, ... , n respectively.
[1.C.W.A. (Foundation), June 2006]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa784005-8fb8-49b6-93d1-4c5e485091e6%2F066d24a4-b3d4-4f52-9c4d-e05e2368219f%2F03oaxee_processed.jpeg&w=3840&q=75)
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- ** In Chapter 3, you learned that in a counting experimen t, the uncerta inty associated with a counted number is given by the "square-root rule" as the square root of that number. This rule can now be made more precise with the following statements (proved in Chapter 11): If we make several counts of the number 11 of random events that occur in a time T, then: (I) the best estimate for the true average number tha1 oocur in time T is the mean 'ii = l..vi!N of our mcasuremems,and (2) the sta11dard deviatio11 of the observed numbers should be approximately equal to the square root of this same best estimate; that is, the uncer tainty in each measurement is .,/f,. In particular, if we make only one count 11, the best estimate is just 11 and the uncertainty is the square root --fi,; this result is just the square-root rule of Chapter 3 with the additional in formation that the "uncer tainty" is actually the standard deviation and gives the margins wi thin which we…Let {Xi}ni be IID from Bernoulli(p). Find the method of moments estimator of p and use simulations to check whether your estimator is biased or notFor a student who gets 95 on the midterm, what is the predicted final grade? Assume the relaionship is liner. Show you work.
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