A new printing machine is tested about the number of printing errors per 5m2 paper. It is assumed that thenumber of printing errors will have Poisson distribution with parameter I.a) If X1, X2, . . ., Xn is a random sample of size n, estimate the parameter of the distribution.b) The randomly selected 12 papers are inspected, and the number of printing errors are found as 2, 0, 0, 1, 1, 0, 1,1, 2, 0, 1, and 0. Estimate the mean number of printing errors, and write down the distribution function.c) In order to estimate the distribution parameter with 0.3 error and 4% risk, find the minimum sample size.A.2) The time between successive customers coming to the market is assumed to have Exponential distributionwith parameter I.a)If X1, X2, ... , X, are the times, in minutes, between successive customers selected randomly, estimate theparameter of the distribution.b)b) The randomly selected 12 times between successive customers are found as 1.8, 1.2, 0.8, 1.4, 1.2, 0.9,0.6, 1.2, 1.2, 0.8, 1.5, and 0.6 mins. Estimate the mean time between successive customers, and write down thedistribution function.c)In order to estimate the distribution parameter with 0.3 error and 4% risk, find the minimum sample size.

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Description: A new printing machine is tested about the number of printing errors per 5m2 paper. It is assumed that thenumber of printing errors will have Poisson distribution with parameter I.a) If X1, X2, . . ., Xn is a random sample of size n, estimate the pa

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A new printing machine is tested about the number of printing errors per 5m2 paper. It is assumed that the number of printing errors will have Poisson distribution with parameter I. a) If X1, X2, . . ., Xn is a random sample of size n, estimate the parameter of the distribution. b) The randomly selected 12 papers are inspected, and the number of printing errors are found as 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, and 0. Estimate the mean number of printing errors, and write down the distribution function. c) In order to estimate the distribution parameter with 0.3 error and 4% risk, find the minimum sample size.

A new printing machine is tested about the number of printing errors per 5m2 paper. It is assumed that the number of printing errors will have Poisson distribution with parameter I. a) If X1, X2, . . ., Xn is a random sample of size n, estimate the parameter of the distribution. b) The randomly selected 12 papers are inspected, and the number of printing errors are found as 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, and 0. Estimate the mean number of printing errors, and write down the distribution function. c) In order to estimate the distribution parameter with 0.3 error and 4% risk, find the minimum sample size.

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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