14-14 The University of South Wisconsin has had steady enrollments over the past five years. The school has its own bookstore, called University Book Store, but there are also three private bookstores in town: Bill’s Book Store, College Book Store, and Battle’s Book Store. The university is concerned about the large number of students who are switching to one of the private stores. As a result, South Wisconsin’s president, Andy Lange, has decided to give a student three hours of university credit to look into the problem. The following matrix of transition probabilities was obtained:   UNIVERSITY BILL’S COLLEGE BATTLE’S UNIVERSITY 0.6 0.2 0.1 0.1 BILL’S 0 0.7 0.2 0.1 COLLEGE 0.1 0.1 0.8 0 BATTLE’S 0.05 0.05 0.1 0.8 At the present time, each of the four bookstores has an equal share of the market. What will the market shares be for the next period?

The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 4,900 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor?  (Assume each section has the maximum number of students allowed.) Ancient History ______sections Medieval History____ sections Modern History___…

A sporting goods store announces a "Wheel of Savings" sale. Customers select the merchandise they want to purchase, then at the cash register they spin a wheel to determine the size of the discount they will receive. The wheel is divided into 12 regions, like a clock. Six of those regions are red, and award a 10% discount. The three white regions award a 20% discount and two blue regions a 40% discount. The remaining region is gold, and a customer whose lucky spin lands there gets a 100% discount - the merchandise is free! Determine each of the probabilities. Explain your answer. 10 a) What is the probability that a customer gets at least a 40% 10 100 discount? 40 10 10 20 20 10 10 | 40 20

You're the head chair of a popular clan of 30 video-game streamers, who go viral on various video streaming platforms for annihilating the opposition in the hottest contemporary video games. Among the many things entailed by being in this clan, these streamers often go to e-sports (competitive gaming) competitions aiming to win fame, glory, and huge prizes. Here's the thing: The hottest new battle royale shooter just released last month, and a popular gaming convention has announced that they'll be hosting a competition with it. This competition has a huge entry fee, but huge reward payouts, and the whole world will be watching. While everyone knows that your clan has only the most elite, most pro gamers, you wouldn't want to take any risk of humiliating your organization and wasting money in the process. Therefore, when this new game released last month, you assigned all your clan members to play it as much as possible and document when they win. You pooled the data at the end of the…

Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 11 calls per hour. The arrival rate is 22 calls per hour.   How many extension lines should be used if the company wants to handle 90% of the calls immediately?4 lines What is the average number of extension lines that will be busy if your recommendation in part (a) is used? Round your answer to four decimal places.L = ?????????? What percentage of calls receive a busy signal for the current telephone system with two extension lines? Round your answer to two decimal places.40 %

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 14 choices for her section of Statistics, 14 choices for her section of Composition, and 13 choices for her section of Ethics. From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)

A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80

Camp Rainbow offers overnight summer camp programs for children ages 10 to 14 every summer during June and July. Each camp session is one week and can accommodate up to 200 children. The camp is not coed, so boys attend during the odd-numbered weeks and girls attend during the even-numbered weeks. While at the camp, participants make crafts, participate in various sports, help care for the camp's resident animals, have cookouts and hayrides, and help assemble toys for local underprivileged children. The camp provides all food.as well as materials for all craft classes and the toys to be assembled. One cabin can accommodate up to 10 children, and one camp counselor is assigned to each cabin. Three camp managers are on-site regardless of the number of campers enrolled. Following is the cost information for Camp Rainbow's operations last summer: Week 12345678 Number of Cost to Run Camp $ 10,010 8,280 11,360 9,870 9,030 11,890 12,110 12,720 Campers 138 94 162 116 124 132 152 168 E5-14…