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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text: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.2) The time between successive customers coming to the market is assumed to have Exponential distribution
with parameter I.
a)
If X1, X2, ... , X, are the times, in minutes, between successive customers selected randomly, estimate the
parameter 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 the
distribution 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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