Exercise 2 Fifty managers of a large chain Hotel were selected and classified according to their gender and region. The result is shown in the following table Region Male Female Total West Cost 6 10 16 Southern 10 4 14 East Cost 12 8 20 Total 28 22 50 What is the probability that the manager selected is a female, knowing that her region is East Cost? Are gender and functional background-independent for this set of executives?

Exercise 2 Fifty managers of a large chain Hotel were selected and classified according to their gender and region. The result is shown in the following table Region Male Female Total West Cost 6 10 16 Southern 10 4 14 East Cost 12 8 20 Total 28 22 50 What is the probability that the manager selected is a female, knowing that her region is East Cost? Are gender and functional background-independent for this set of executives?

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

a. The table below show the proportion of men and women who plan to vote in the next election. Three hundred men and 300 women were randomly selected and asked whether they planned to vote in the next election. men women plan to vote 170 185 do not plan to vote 130 115 What is the relative risk (likelihood) that men will vote versus men will not vote? a.1.567 b. 1.308 c. 0.583 d. 1.433 e. 0.764 b. During a poll, 115 people were randomly selected and asked their political party affiliation. The contingency table below shows the results cross-classified by political party affiliation and sex. Democrat Republican other total male 16 23 25 64 female 28 12 11 51 total 44 35 35 115 Find the conditional distribution of Republicans who are men. a. 0.557 b. 0.657 c. 0.20 d. 0.359 e. 0.25 c. For the given sample data and null hypothesis, compute the value of the test statistic. The claim is that the…
2. Currently there are 25 secondary schools in Miri including private, technical and vocational. The numbers of teachers in each of these schools are as follows: 135 102 120 120 112 128 104 78 105 114 144 98 90 145 122 148 115 155 68 112 98 88 124 94 90 Assuming the population mean of secondary school teachers is normal, what is the probability that the mean number of secondary school teachers is less than 100?
The following contingency table shows the cross tabulation of data collected for a company that was studying their employees. Data was collected on the gender (male/female) and their position (manager/non-manager). Manager Non-Manager Total Male 15 25 40 Female 20 40 60 Total 35 65 100 Calculate the probability that a randomly selected employee is female OR a manager.
The following table gives the percentage of students enrolled in one mathematics courses at a university. The college level transfer courses are College Algebra, Statistics, and Liberal Arts Math. PreAlgebra 5% Statistics Elementary Liberal Arts Algebra Math Intermediate Algebra %0% College Algebra 25% prials vas get A student who is taking only one mathematics course is selected. What is the probability a student is taking transfer level math? (Enter without a percent sign)
A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at a given University. One question asked which major within the business program the student had chosen. Here are the data from the students who responded Major Accounting Administration Economics Finance Female Male 68 56 91 40 61 59 Does the data suggest that there is a relationship between the gender of students and their choice of major? What is the expected number of female who choose Finance? Select the correct response: O 70 60 O 37 O 61
The contingency table below shows the results of a survey of video viewing habits by age. Video Viewing Platform Preferred Viewer Age Mobile/Laptop Device TV Screen Row Total 18–34 40 28 68 35–54 9 9 18 55+ 5 9 14 Column Total 54 46 100 Find the following probabilities or percentages: (d) Percentage of viewers given they are 18–34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.) Percentage of viewers % (e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device. Percentage of viewers % check_circle
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
The following table classifies patients in a research study of cardiovascular risk factors according to their gender and whether they have a family history of cardiovascular disease (CVD): Gender CVD Female Male Total Yes 22 18 40 No 198 162 360 Total 220 180 400 Define the events: F = patient is a female C = patient has a family history of cardiovascular disease (CVD)
In the table below, the distribution of employees in a business according to their gender and whether they are university graduates is given. QI Gender College graduate Not college graduate Total Male Female 7 20 27 4 9. 13 Total 11 29 40 If one of the employees is randomly selected for the worker management council, what is the probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the Venn diagram. a.Solve the problem using a tree diagram (flowchart). b. Construct the second solution with Venn diagram. c. Similarly, when the events "Male (M) and “Not graduated from university (N) are also taken into account, calculate the following probabilities using the table. P(Mn G), P(Mn N), P(F ON). (Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered valid for the solution.
The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students. If a student is selected randomly from this group, what is the probability that the student lives off campus? On Campus At home Apartment Totals Below 2.5 97 38 44 179 2.5 to 3.5 66 26 22 114 Over 3.5 18 5 8 31 Totals 181 69 74 324