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 l. 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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 l.
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
c) In order to estimate the distribution parameter with 0.3 error and 4% risk, find the minimum
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
