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...
icon
Related questions
Question
2. A certain factory produces X, specialized parts on day n, where X, 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) > 0.9999. Note that this maximum value must be a
whole number
Transcribed Image Text:2. A certain factory produces X, specialized parts on day n, where X, 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) > 0.9999. Note that this maximum value must be a whole number
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON