Getaway Travel Agency surveyed a random sample of 45 of their clients about their vacation plans.Öf the clients surveyed, 21 expected that they would go on 3 vacations in the next year. There are 516 Getaway Travel Agency clients.

Getaway Travel Agency surveyed a random sample of 45 of their clients about their vacation plans.Öf the clients surveyed, 21 expected that they would go on 3 vacations in the next year. There are 516 Getaway Travel Agency clients.

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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The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.5% or more are defective, they call repair technicians for service.The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p. (b)Find the standard deviation of p. (c)Compute an approximation for P(z≥0.015), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The U.S. Bureau of Printing and Engraving is responsible for printing thiscountry’s paper money. The BPE has an impressively small frequency of printingerrors; only 0.5 percent of all bills are too flawed for circulation. What is theprobability that out of a batch of 1,000 bills. At least two are too flawed forcirculation?
The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934
a) What proportion of 20% of defective items should a supervisor in the quality system of a plastic products company accept when they ask him to evaluate a routine inspection procedure for orders of 100 identical articles, knowing that the procedure consists of taking a sample of 10 items and the one to accept the order if no more than 2 defective items are found? b) How many defective items are expected to appear in the sample?
The Los Angeles City Controller's office calculated that in 2013, the city employed 4703047030 full‑time employees and 1014210142 part‑time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part‑time workers into full‑time workers throughout 2014. The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per‑event employees) who are full‑time employees ?p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per‑event employees) in June 2014 and found that 845845 were full‑time employees and 155155 were part‑time employees. If the advocacy group planned to use a one‑sample z-z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be Assume…
A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within three years. A 0.95 degree of confidence is to be used. Several years ago, a study revealed that 34% of junior executives left their company within three years. To update this study, how many junior executives should be surveyed? rev: 12_28_2020_QC_CS-245397 Multiple Choice 843 861 958 1,146
47) Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate theprobability that the next person who comes in to give blood will have high blood pressure.A) 0.241 B) 0.29 C) 0.373 D) 0.322
In a random sample of 1500 BA major students who are graduating from the University of Western Cape (UWC)this summer (2020), we observe that 1380 have already found a job. Question 10What proportion of students graduating from UWC this summer have NOT already found a job (rounded off to two decimals)? Question 11Calculate the standard error for students graduating from UWC this summer that have not already found a job based on the sample provided (rounded off to four decimals).Question 12Find a 95% confidence interval for the proportion of students graduating from UWC this summer that have not found a job already (rounded off to four decimals).
Male penguins that weigh more than 4710 grams are considered "desirable" because the extra fat means they can babysit the couple's eggs without needing to wander off in search of food. In a random sample of 900 male penguins, how many would we expect to be considered "desirable"?
Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce trees and the number of such trees that were infested or had been attacked by the tomentosus. What sampling design was used for this survey? If the tomentosus is believed to be evenly distributed throughout the face of this mountain, would you recommend this sampling design? Why or why not? If the tomentosus prefers to reside in regions of the mountain face with higher temperatures and hence lower elevations, would you recommend using a different sampling design? Explain your answer…