5. A large security-system management company with clients in Los Angeles and San Francisco installs and monitors secu-rity systems in houses and on business premises. The system's alarm sounds at the central monitoring location if the systemdetects a security break-in, smoke, or fire at any of the clients' premises. Tests have indicated that 3 percent of clients have afalse alarm, meaning the alarm sounds when there is no incident, and that in approximately 0.5 percent of actual incidences,the system fails to sound an alarm. The records indicate that about 0.1 percent of clients have break-in/fire/smoke incidents.(a) Suppose a client is selected at random. What is the probability that the alarm will sound at this client's premises?(b) Suppose the alarm is sounded at a client's premises. What is the probability that there is no break-in, smoke, or fire inci-dent?ELE

Introduction: Denote X as the event that a randomly selected client has a break-in, smoke, or fire…

Answered: 5. A large security-system management…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.2% of those under the age of 18, 12.9% of those ages 18-64, and 1.3% of those 65 and older do not have health insurance. Suppose 22.4% of people in the county are under age 18, and 62.3% are ages 18-64. (a) What is the probability that a randomly selected person in this country is 65 or older? 15.3 (b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.) 0.023 X
3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. e) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of observations are more than 18.2? (Hint: use Empirical rule) 2.5% 32% 16% 5%
5. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years.36 The two-way table below displays the data. Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Smoking Status Nonsmoker Former Moderate Heavy Primary School 56 54 41 36 Education Secondary School 37 43 27 32 University 53 28 36 16
1. Most supermarkets across the United States have invested heavily in optical scanner systems to expedite customer checkout, increase checkout productivity, and improve product accountability. These systems are not 100% effective, items often have to scan several times. Sometimes items are entered into the manual cash register because the scanner cannot read the item number. The following data are from an experiment in which a supermarket selected 20 of the best checkers and measured their productivity both when using a scanner and when working manually. In general, do optical scanners register significantly more items than manual entry systems do? At significant level=0.05. (1 Checker 1 2 3 18 16 17 19 20 4 5 6 7 11 12 13 14 15 8 9 10 Manual 426 387 410 506 411 398 427 449 407 438 418 482 512 402 435 397 421 426 475 453 Scanner 473 446 421 510 465 409 414 459 502 439 456 499 518 437 435 411 415 421 485 490
4. Straight As now, healthy later A study by Pamela Herd of the University of Wisconsin-Madison found a link between high-school grades and health. Analyzing data from the Wisconsin Longitudinal Study, which has tracked the lives of thousands of Wisconsin high-school graduates from the class of 1957, Herd found that students with higher grade-point averages were more likely to say they were in excellent or very good health in their early 60s. Does this mean people will live healthier lives if they increase their GPA? Explain.47
When an audit must be conducted that involves a tedious examination of a large inventory, the audit may be very costly and time consuming if each item in the inventory must be examined. In such situations, the auditor frequently obtains a random sample of items from the complete inventory and uses the results of an audit of the sampled items to check the validity of the company's financial statement. A large company’s financial statement claims an inventory that averages $600 per item. The following data are the auditor’s assessment of a random sample of 75 items from the company’s inventory. The values resulting from the audit are rounded to the nearest dollar. Estimate the mean value of an item in the inventory using a 95% confidence interval. Is there substantial evidence (a 5 .01) that the mean value of an item in the inventory is less than $600? What is the target population for the above inferences? Would normal distribution–based procedures be appropriate for answering the…
3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. c) Count the number of measurements that actually fall within the interval(-28, +2s) and express the interval count as a percentage of total number of measurements. at least 75% 100% 68% 95%
Express House Delivery Service provides high quality service to customers. The company guarantees a refund of all charges if a package it is delivering does not arrive at its destination by the specified time. It is known from past data that despite all efforts, 2% of the packages mailed through this company do not arrive at their destinations within the specified time. Suppose a corporation mails 10 packages through Express House Delivery Service on a certain day.
In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?

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