mdm12Section1_4_OddSolutionsFinal

mdm12Section1_4_OddSolutionsFinal - Q1-5 Q7-9 CHAPTER 1...

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Unformatted text preview: Q1-5 Q7-9 CHAPTER 1 Section 1.4, p. 40 Solutions to Odd Number Problems 1. a) Use randInt(1,25,100). If you need instructions on using your graphing calculator, refer to Appendix B of the student text. b) Use randInt(-20,20,24). 3. Answers will vary. The following is an example. Simulation: The bus is late 10% of the time. You want to simulate how often the bus will be late for the next 30 days. Use randInt(1,10,300) to generate a list of 30 random numbers from 1 to 10. Let a 1 represent a late bus. Count the number of 1s that turn up. The advantages of this simulation: little time is needed, and the accuracy can be improved easily if more random numbers are generated. If you need instructions on using your graphing calculator, refer to Appendix B of the student text. 5. a) Answers will vary. You can write numbers in the range of interest on pieces of paper, place them in a hat, and draw them one at a time, replacing the number after each draw, and mixing thoroughly. b) Random integers between 0 and 9 could be generated by recording the last digit of phone numbers. This assumes that the last digit of the phone numbers were generated randomly. Top 7. Answers will vary. The following simulation was performed using a spreadsheet. a) Simulation 1 Odd Number Tosses 1 = N,2 = S Even Number Tosses 1 2 2 3 2 4 5 1 6 7 1 8 9 1 10 ...... 91 1 92 93 2 94 95 2 96 97 2 98 99 1 100 number of heads (N) 27 number of heads (E) number of tails (S) 23 number of tails (W) final coordinates = (x,y) x 0 1 1 1 2 1 2 2 2 1 1 25 25 y 4 Results of 10 simulations of 100 movements each: Simulation Number 1 2 3 4 5 6 7 8 9 10 After 10 simulations Final Coordinates x y 0 -4 8 -6 2 6 -4 6 0 -2 4 6 -6 6 4 -10 -4 6 -6 -8 x y -2 0 Hypothesis: After a large number of simulations of 100 movements, the end point of the random walk should be close to the origin. 9. Answers will vary. Top ...
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This note was uploaded on 01/23/2012 for the course MATHS MDM-01 taught by Professor Mr.m during the Spring '10 term at Seneca.

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mdm12Section1_4_OddSolutionsFinal - Q1-5 Q7-9 CHAPTER 1...

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