2. A certain factory produces X, specialized parts on day n, where Xn are independent and identically distributed random variables with mean 6 and variance 9. Let S„be the total number of specialized parts produced from day one 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 2 a) 2 0.9999. Note that this maximum value must be a whole number
2. A certain factory produces X, specialized parts on day n, where Xn are independent and identically distributed random variables with mean 6 and variance 9. Let S„be the total number of specialized parts produced from day one 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 2 a) 2 0.9999. Note that 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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