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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?A car agency has offices in Phoenix, Denver and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are twoway. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; (a) Express the situation as s Markov chain. (b) If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)? (c) If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?
- A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; Express the situation as a Markov chain.A car agency has offices in Phoenix, Denver, and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are two-way. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)?
- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?Data from the Bureau of Labor Statistics indicates that in a certain month, 39.9% of the labor force had a high school diploma or fewer years of education, 29.6% had some college or an associate's degree, and 38.5% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 7.6% were unemployed of those with some college or an associate's degree, 3.2% were unemployed and those with a bachelor's degree or more education, 2.3% were unemployed find the probability that a randomly-chosen labor force participation have some college rent associates degree given that he or she is employed.In the Black Swan briefly explain Yevgenia’s Black Swan, and the concepts of Mediocristan and Extremistan. Provide examples of each.
- Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion). Among these five countries, the United States has 37.1% of the cost of piracy. Is it correct to conclude that the United States has 37.1% of the total cost of piracy for all countries? What do these results tell us about the costs of piracy in the other countries not included here?Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,300. Manufacturing costs are $12 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…A software organisation employs 80,000 staff members. 16,000 employees are inthe sales team, 24,000 are in the customer support team and 14,000 are in thesoftware development and HR departments. What percentage of theorganisation’s employees are a part of the finance team, if the size of the financeteam makes up two-fifths of the remainder?