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1. Three fast food hamburger restaurants are competing for the college lunch crowd. Burger Bills has 40% of the market while Hungary Heifer and Salty Sams each have 30% of the market. Burger Bills loses 10% of its customers to the Hungary Heifer and 10% to Salty Sams each month. The Hungary Heifer loses 5% of its customers to Burger Bills and 10% to Salty Sams each month. Salty Sams loses 10% of its customers to the Burger Bills while 20% go to the Hungary Heifer. What will the market shares be for the three businesses next month? What will the market shares be in the long run? (Equilibrium)
2. There is a 30% chance that any client of company A will switch to company B this year. There is a 20% chance that any client of company B will switch to company A this year. If these probabilities are stable over the years, and if company A has 1,000 clients and company B has 1,000 clients, in the long run (assuming probabilities do not change), what will the market shares be?
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
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MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
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