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Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages as decimals (instead of 25.6%, use .256) Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon. Advertising by all three companies results in a continual shift of customers. Each year, Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint has 25% of the market, AT&T has 35%, and Verizon has 40%. Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment. 1. State the probability vector: 2. Create the transition matrix, labeling rows and columns, and draw the transition diagram. Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V. 3. Assume that for 5 years this trend continues. State the transition matrix after 5 years. 4. What is the market share for each company after 5 years? Sprint: AT&T: Verizon: 5.…

The following table shows the tuition for a semester at CBU in dollars for years since 1990. Year CBU Tuition 1 3770 3 4440 5 5000 7 5800 9 6570 11 7450 13 8370 15 9315 17 10420 19 11590 21 12760 A scatter plot for the data and a graph of a linear model in black and a quadratic model in red follows. 13000- 12000- 11000- 10000 9000 8000- 7000- 6000- 5000 4000- 12 15 18 21 Use the above scatter plot to decide which model better fits the data. linear none quadratic Let C'(t) be the cost of tuition at CBU in dollars for t years since 1990. A quadratic model for the data is C(t) = Use three decimals in your answer. Estimate the tuition in 2015. $

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