1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 1 Homework, Page 786 Evaluate the expression by hand, then check your work with a calculator.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 2 Homework, Page 786 Evaluate the expression by hand, then check your work with a calculator.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 3 Homework, Page 786 9. How many license plates begin with two letters followed by four digits or begin with three digits followed by three letters. Assume that no digits or letters are repeated.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 4 Homework, Page 786 13.Suppose that a coin is tossed five times. How many different outcomes include at least two heads?

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 5 Homework, Page 786 17.Find the number of distinguishable permutations that can be made from the letters in: A) GERMANY B) PRESBYTERIANS

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 6 Homework, Page 786 Expand each expression. 21.

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 7 Homework, Page 786 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 8 Homework, Page 786 List the elements of the sample space. 29.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 9 Homework, Page 786 A penny, a nickel, and a dime are tossed. 33.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 10 Homework, Page 786 37.A fair coin is tossed four times. Find the probability of obtaining one head and three tails.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 11 Homework, Page 786 An experiment has only two possible outcomes – success (S) or failure (F) – and repetitions are independent events. Probability of success is 0.4. 41.Find the probability of SF on two repetitions.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 12 Homework, Page 786 45.Two cans of mixed nuts of different brands are open on a table. Brand A consists of 30% cashews, while brand B consists of 40% cashews. A can is chosen at random and a nut is chosen at random from the can. Find the probability that the nut is: a) from the brand A can. b) a brand A cashew c) a cashew d) from the brand A can, given that it is a cashew

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 13 Homework, Page 786 Find the first six terms and the 12 th term of the sequence. 49.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 14 Homework, Page 786 Find the first six terms and the 12 th term of the sequence. 53.

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 15 Homework, Page 786 The sequences are arithmetic or geometric. Find an explicit formula for the n th term. State the common difference or ratio. 57.

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 16 Homework, Page 786 The sequences are arithmetic or geometric. Find an explicit formula for the n th term. State the common difference or ratio. 61.The fourth and ninth terms of a geometric sequence are –192 and 196,608, respectively.

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 17 Homework, Page 786 Find the sum of the terms of the arithmetic sequence. 65.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 18 Homework, Page 786 Find the sum of the geometric sequence. 69.

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 19 Homework, Page 786 Graph the sequence. 73.

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 20 Homework, Page 786 Determine whether the geometric series converges. If it does, find its sum. 77.

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 21 Homework, Page 786 Determine whether the geometric series converges. If it does, find its sum. 81.

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 22 Homework, Page 786 Write the sum in sigma notation. 85.

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 23 Homework, Page 786 Use summation formulas to evaluate the expression. 89.

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 24 Homework, Page 786 Use mathematical induction to prove the statement is true for all positive integers. 93.

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 25 Homework, Page 786 Construct a) a stemplot, b) a frequency table, and c) a histogram for the indicated data. 97.Use intervals of ten. The lengths (in seconds) of 24 randomly selected Beatles songs that appeared on singles are as follows, in the order released: 143, 120, 120, 139, 124, 144, 131, 132, 148, 163, 140, 177, 136, 124, 179, 131, 180, 137, 156, 202, 191, 197, 230, 190.

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 26 Homework, Page 786 97. a) a stemplot

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 27 Homework, Page 786 97. b) a frequency table: SecondsFrequencySecondsFrequency 120-1294180-1891 130-1396190-1993 140-1494200-2091 150-1591210-2190 160-1691220-2290 170-1792230-2391 Total24

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 28 Homework, Page 786 97. c) a histogram

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 29 Homework, Page 786 Find the five number summary, the range, the interquartile range, the standard deviation, and the variance of the specified data. Identify any outliers. 101.The data in Exercise 95. Five number summary: {9.1, 11.7, 13.1, 15.4, 23.4} Range: 14.3 IQR: 4.7 Standard deviation: 3.185 Variance:10.445

30. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 30 Homework, Page 786 Construct (a) a boxplot and (b) a modified boxplot for the specified data. 105.The data in Exercise 97. Five number summary: {120, 131.5, 143.5, 179.5, 2304} IQR: 48 (a) (b)

31. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 31 Homework, Page 786 109.Make a time plot for the data in Exercise 97 assuming equal time between songs. Interpret the trend revealed in the time plot. The time plot reveals a trend toward longer songs over time.

32. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 9- 32 Homework, Page 786 113.Suppose the probability of producing a defective baseball bat is 0.02. Four bats are selected at random. What is the probability that the lot of four bats contains the following? a) No defective bats b) One defective bat.