Probability and statics a) Control charis are to be constructed for samples of sizen=5, and i and rare computed for each 25 preliminary sanples as follors.Er= 3902 5.7=135.8. Find the trial control limits for X and R control chart.b) A random sample of size n, =16 is selected from a normal population with a mean of85 and a standard deviation of 9. A second random sample of size n =25 is taken frommother nornal population with mem 70 and standard deviation 14. Let X, and X, be teosample means. Find the probability theat X, - X, decreased by 13.c) The mannfacturing of laser printers produces 4% defective printers. Assume the chipsare independent and that a lot contains 1000 laser printers. Approxinate the probability that less than35 printers are defective.d) Suppose the random variables X and Y have the following joint probability mass function:Xy f(x,y)11 0.0511 0.1012 0.1512 0.20210.2021 0.1522 0.1022 0.05Find Conditional probability distribution of X given that Y = 1.< o O

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Description: Probability and statics a) Control charis are to be constructed for samples of sizen=5, and i and rare computed for each 25 preliminary sanples as follors.Er= 3902 5.7=135.8. Find the trial control limits for X and R control chart.b) A random sample

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Find the trial control limits for Xand R control chart.

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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