A certain factory produces Xn specialized parts on day n, where Xn are independent and identically distributed random variables with mean 6 and variance 9. Let Sn be the total number of specialized parts produced from day 1 to day n. Using central limit theorem, determine the total number of parts, a, the said factory can guarantee to produce by day 50 with at least 99.9% certainty, i.e. determine the maximum value of a so that P(S50≥a)≥0.999. Note: This maximum value must be a whole number

A certain factory produces Xn specialized parts on day n, where Xn are independent and identically distributed random variables with mean 6 and variance 9. Let Sn be the total number of specialized parts produced from day 1 to day n. Using central limit theorem, determine the total number of parts, a, the said factory can guarantee to produce by day 50 with at least 99.9% certainty, i.e. determine the maximum value of a so that P(S50≥a)≥0.999. Note: This maximum value must be a whole number

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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