# Advanced Statistic Number 30 Question

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30. Let L1, …, Ln denote the life-times of n light bulbs. We assume L1, …, Ln to be i.i.d. with mean
u and standard deviation o(Li) = V Var[Lı] = 6 (in months). Use the central limit theorem to
determine approximately the probability that In = 121-1 Li deviates by less than a month from
M, i.e. P[|In – ul < 1], if n = 10. Hint: You can use freely available calculators for the values of 0(z) (the cumulative distribution function of N (0,1)) online, see for instance: https://homepage.divms.uiowa.edu/ mbognar/applets/normal.html Answer: (1 Point] [4 Points] Detailed explanation: Purchase answer to see full attachment Tags: Central Limit Theorem light bulb cumulative distribution function life times freely available calculators User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

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