Question

Estimators A researcher is granted access to dataset from a local NGO which operates in Morocco. The datset records Moroccan households electricity consumption, emasured in kilowatt/hour (kWh). The sample is i.i.d and the sample size is n = 850. The researcher is interested in the probability that a household consumption is between 2100 kWh and 2400 kWh. a) Propose a consistent estimator for the probability that a household consumption is between 2100 kWh and 2400 kWh.

Answer 1

Answer:- Summarized the information given in the problemi @ The propose estimator that a household consumption is between 2100 kwh and 2400 kwh is 8=E(x) and it is unbiased but it does not converge to any value However, if a sequence of estimate is unbiased and conver ges to a value then it is consistent at it most converge to the correct value. Therefore have; Plato 1100 kwh <x<2400 kwh) we P

To get 6 = n n = 850 6= 850 850-1 1.000 x- 6 Gjitha 2100- 2250 - 2400-2250 LXG 1 A ין - 150 < x < 150 *
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