A.1) A new printing machine is tested about the number of printing errors per 5m? paper. It is assumed tha printing errors will have Poisson distribution with parameter I. a) lf X1, X2. .... X, 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. 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.1) A new printing machine is tested about the number of printing errors per 5m? paper. It is assumed tha printing errors will have Poisson distribution with parameter I. a) lf X1, X2. .... X, 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. 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...

See similar textbooks

Similar questions

The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.d) Find Ls, Lq, Ws and Wq
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.1% of the thermometers are rejected because they have readings that are too high and another 4.1% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings = _________ °C
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.8% of the thermometers are rejected because they have readings that are too high and another 4.8% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings =_____________ °C
7. Suppose a teacher looks at a random sample of 42 final exam completion times and finds a mean timeof 111 minutes with asamplestandard deviation of 44 minutes. Which equation should they use tocompute the margin of error?A.E=s√nB.E=z√pqnC.E=zs√nD.E=ts√nE.E=t√pqn 8. Suppose a teacher looks at a random sample of 42 final exam completion times and finds a mean timeof 111 minutes with asamplestandard deviation of 44 minutes. Which value best approximates themargin of error for a 95% confidence interval?A.E= 6.8B.E= 33.4C.E= 13.3D.E= 13.7E.E= 34.4 9. A TWISTER spinner has four outcomes; red, blue, yellow, green. Tim believes that the proportion ofred outcomes is not equal to 25%. Which of the following correctly depicts hisnull hypothesis,H0?A.H0:μ >25B.H0:μ= 25C.H0:μ <25D.H0:μ6= 25E.H0:p=.25F.H0:p > .25G.H0:p < .25H.H0:p6=.25Page 2 10. A TWISTER spinner has four outcomes; red, blue, yellow, green. Tonya tests the claim that theproportion of red…
The level of dissolved oxygen in a river indicates the water’s ability to support aquatic life. A research project is started to determine if the oxygen levels in the river have changed. A study done 10 years prior, showed that the mean oxygen levels in milligrams per liter for the river was 4.3. A.) Write appropriate hypotheses for this test B.) Water is collected samples from 15 randomly chosen locations along the river and measured the dissolved oxygen. Construct and interpret a 95% confidence interval for the mean dissolved oxygen level for this stream. The results are in milligrams per liter: 4.53 5.5 4.01 5.04 4.83 4.66 3.29 4.4 2.87 5.23 5.42 5.73 4.13 6.38 5.55 C.) Based on the sample from part B, conduct a significance test of these results using a 5% significance level. Give complete results of the test including a p-value and what the results means.
The number of dollars a round trip plane ticket costs from North America to Europe is normally distributed with a mean of $1,780 and a standard deviation of $335. What is the probability a randomly selected ticket costs between $775 and $2,785? Enter your answer in decimal form. For example. 75% should be entered as 0.75
We have a Poisson distribution for cacti with a mean of 280 per square kilometer. They are asking for the mean of cacti per 10,000 square meters. They are telling us that 1 square kilometer = 1,000,000 square meters. My confusion is on converting the units. When they say 280 per square kilometer, are they saying 280 divided by square kilometer? I've attached an image of my work. My professor said that the answer is 2.8.
For a certain type of potato soil the number of click beetles per cubic foot has a mean of 400. Assuming a Poisson distribution of click beetles, give an interval that will include at least 7/16 of the sample values of click beetle counts obtained from a large number of 1-cubic-foot samples.
Q2) A certain machine makes electrical resistors having a mean resistance of 60 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 63 ohms?
5. The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard deviation of 10 centimeters, whereas the distribution of heights of a certain breed of poodle has a mcan of 28 centimeters with a standard deviation of 5 centimcters. Assume the distributions of both types of breeds are normally distributed. (n) Suppose we are taking a random sample of 64 terriers. What is the sampling distri- bution of mean heights of the breed of terriers? (b) Find the probability that the sample mean for a random sample of heights of 61 terriers excoedls 75 centimetcrs. (c) Find the probability that the sample mean for a random sample of heights of 64 terriers excoeds the sample mean for a random sample of heights of 100 poodles by at lenst 44.2 centimeters.
a) Let X₁, X2, X3,..., X₁ be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter 0 and Y = ===1 X₁. n b) i) Show that y follows a chi-square distribution with 2n degrees of freedom. ii) What is the value of the sample size n, if P(Y > 20.4831) = 0.025? iii) What is the value of sample size n, if P(|Y - 2n| <40) ≥ 0.025? iv) Use the Central Limit Theorem to compute P(100 < Y < 115), for n = 40. Let X₁, X2, ..., X5 be a random sample of size 5 from the standard normally population. If the statistic Y is given by Y = X1 X2 X3 ₁²+X3² +X5² i) Briefly explain why Y follows a Student's t distribution with 3 degrees of freedom. ii) Compute the probability that Y is between 2.35 and 5.84. iii) What is the mean and variance of the statistic Y?
5