b) The following table shows the results of a sample survey carried out by a fast-foodrestaurant to determine whether persons had noticed an improvement in its service in thelast monthVoting ResultsSexImprovementNoNoSeenimprovementOpinionMale252134Female163816ii.A patron was selected at random from the sample.a) Determine the probability that the patron thought that there was an improvement inservice.b) Detemine the probability that the patron was a female or thought that there was noimprovement in the service.c) Given that the patron thought there was an improvement, what is the probability thatthe patron was a male?

Answered: b) The following table shows the…

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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You are planning a sample survey of small businesses in your area. You will choose an SRS of 150 businesses listed in the Yellow Pages. Experience shows that only half of the businesses you contact will respond. We consider each response as a success. a) What is the mean number who respond to this survey? b) What is the probability that 70 or fewer will respond? c) How large a sample must you take to increase the mean number of respondents to 100?
The table relates the weights and heights of a group of individuals participating in an observational study. Tall Medium Short Totals Obese 18 28 14 Normal 20 51 28 Underweight 12 25 9 Totals Find the probability a randomly chosen individual from this group is Tall or Underweight. Find the probability that a randomly chosen individual from this group is Normal given that the individual is Medium.
Explain the method of retrospective study for collecting data. Consider the semiconductor wafer data in Table 4. Suppose those 10 wafers are selected randomly (without replacement) for an electrical test. Determine the probability that exactly 4 wafers have high contamination. Table 4: Wafers in Semiconductor Manufacturing Classified by Contamination and Location Location in Sputtering Tool Centre Edge 514 68 112 246 626 314 Contamination Low High Total Total 582 358
The following table shows the results of a survey of 200 authors by a publishing company. Established Authors Total 68 132 Total 200 Compute the relative frequency of the given event if an author as specified is chosen at random. An author is a new author. New Authors Successful Unsuccessful 20 30 50 48 102 150
Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?
3. Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 73 people in the 18-21 age bracket and finds that 62 of them respond and 11 refuse to respond. When 303 people in the 22-29 age bracket are contacted, 273 respond and 30 refuse to respond. Assume that 1 of the 376 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who responds.Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.P(22-29 or responds) = %
5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?
The following table shows the results of a survey of 200 authors by a publishing company. New Authors Established Authors Total Successful 14 54 68 Unsuccessful 30 102 132 Total 44 156 200 Compute the relative frequency of the given event if an author as specified is chosen at random. An author is a new author.
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 42 11 Subject Is Not a Drug User 17 34
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
Use the data in the following table, which lists the survey results of 558 university-affiliated individuals and their attitudes regarding working and learning remotely. Assume that individuals are randomly selected from those included in the table. Affiliation Type Preference Undergrad Grad Staff Faculty 106 91 33 145 Remote 86 59 22 16 Hybrid or In Person Answer the following questions. If two of the individuals are randomly selected without replacement, what is the probability of both selected individuals having a preference for Remote working and learning? 0.672 (Round to three decimal places as needed.) If one of the individuals is randomly selected, what is the probability of selecting an individual that is Faculty and has a preference for Remote working and learning? 0.260 (Round to three decimal places as needed.) If one of the individuals is randomly selected, what is the probability of selecting an individual that is Staff or has a preference for Remote working and learning?…

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