random sample of 473 students and professors were asked about their political party affiliation. The following contingency table summarizes their responses. Independent Republican Democrat Student 66 70 92 Professor 100 60 85 Suppose one participant is randomly selected from the group. Calculate the following probabilities. Round solutions to three decimal places, if necessary. Student and Independent Republican and Professor Democrat or Professor Democrat or Independent Republican and Independent

A construction company submitted a bid for a large, public construction project. The company’s management initially felt they had a 50-50 chance of getting the project. However, the department to which the bid was submitted subsequently requested additional information on the bid submitted by this company. Past experience indicates that for 75% of the successful bids but only for 40% of the unsuccessful bids the agency requested such additional information. Question: Given that the construction company was asked for additional information, what is the probability that it will get the project?

A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.

Consider a political discussion group consisting of 5 Democrats, 10 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Republicans. (Type an integer or a simplified fraction.) C

The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high-school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. The sample survey asked the parents to respond to the statement, "A college education has become as important as a high school diploma used to be." Here are the counts of responses: Strongly agree Somewhat agree Somewhat disagree Strongly disagree TOTAL Black parents 154 27 11 10 202 Hispanic White parents 144 37 13 8 202 parents 125 50 18 8 201 Write a brief report on the similarities or differences among the three groups of parents in their attitudes towards the importance of a college education. Include a graph or graphs and a test of significance.

A Finance professor created a multiple-choice examination with 100 questions for his students. Each question has five possible answers. Assume that a student who has done the homework and attended lectures has an 85% probability of answering any question correctly. a. If a student does not pass the examination but the student answers 28 or more questions correctly, the student can appeal to take another new examination. If pass, the highest grade can only be a passing grade, say D. Assume that a student has not attended class and has not done the homework for the course. Furthermore, assume that the student will simply guess at the answer to each question. What is the probability that this student will answer 28 or more questions correctly and have an opportunity to appeal to take another new examination?

The contingency table below represents the political affiliation of a group of individuals, broken down by gender.     Republican Democrat Independent total Men 26 20 59   Women 56 48 33   Total:           If one person is chosen randomly, find the probability that a Democrat or a woman is chosen Round your answer to three decimal places.

A store manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information they collected: