By Wayne Erdman, Jeff Irvine Barbara Canton

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On evennumbered tosses, walk one step east for heads and one step west for tails. A 1. Write a graphing calculator formula for a) generating 100 random integers between 1 and 25 b) generating 24 random integers between −20 and 20 a) Beginning at position (0, 0) on a Cartesian graph, simulate this random walk for 100 steps. Note the coordinates where you finish. 2. Write a spreadsheet formula for a) generating 100 random numbers between 1 and 25 b) Repeat your simulation 10 times and record the results.

B) Determine the total number of full-time male students and the total number of full-time female students enrolled in Ontario universities. Solution 1 Using a Graphing Calculator a) Use the MATRX EDIT menu to store matrices for a 1 × 17 matrix for the numbers of full-time students and a 17 × 2 matrix for the percents of males and females. b) To multiply matrices, use the MATRX NAMES menu. Copy the matrices into an expression such as [A]*[B] or [A][B]. There are 100 299 males and 123 622 females enrolled in Ontario universities.

A shares a border with both B and D but not with C, so A should be connected by edges to B and D only. Similarly, B is connected to only A and C; C, to only B and D; and D, to only A and C. D B C b) Let A, B, C, D, E, and F be vertices representing countries A, B, C, A D, E, and F, respectively. Note that the positions of the vertices are not important, but their interconnections are. A shares borders with B, C, and F, but not with D or E. Connect A with edges to B, C, and F only. Use the same process to draw the rest of the edges.

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