C: ANSWERS TO SELECTED PROBLEMS
Chapter 5.1, Central Tendency
1. 8. 3. 6.
5. 6.44, rounded to
the nearest hundredth. 7. [a] 92.71, [b] 91, [c] 91.
9. 5'8". 11. $33,305.56.
13. 2.46. 15. 18.46.
17. $0.
Chapter 5.2, Expected Value and Standard Deviation
1. 1.2. 3. E[X] = 3.0, s È
2.7568.
5.
|
X |
Pr[X] |
Product |
|
25 |
.2 |
5 |
|
10 |
.4 |
4 |
|
5 |
.2 |
1 |
|
1 |
.2 |
.2 |
|
|
|
E[X] =
10.2 |
7. 1.0565 9. 35 cents.
11. m = 25, s È 4.33. 13. 3.25 flips.
15. Expect 6 for R,
complement of 4 for D. 17. Expect to lose
$0.05 per game.
19. m = 1.5. 21. m = 1.5, s È
0.91.
Chapter 5.3, Normal Random Variable
1. [a] 0.5000, [b]
0.8413, [c] 0.3413.
3. [a] 0.5000 - 0.0618 È 0.4382, [b] 0.9987 - 0.9772 È 0.0215, [c] 0.9525 -
0.0062 È 0.9463.
5. [a] 0.8413 - 0.5000 È 0.3413, [b] 0.1587,
[c] 1.0000 - 0.1587 È
0.8413.
7. 
9. 
Chapter
5.4, The Normal Approximation to a Binomial Random Variable
1. [a] Valid, [b]
Not, [c] Not, [d] Valid. 3. 0.9821.
5. 1.0000 - 0.7764 È
0.2236. 7. 630.
9. 0.8159 - .1841 È
0.6318. 11. 90.7.
13. 6, ~17%. 15. 0.
Chapter 5.5, Chapter Review
Mastery Quiz
1. [c], 2. [b], 3. [b], 4.
[a], 5. [b], 6. [c], 7. [d], 8. [c], 9. [a], 10. [b]
Review
1. [a] 28.33, [b] 25 and
32, [c] 30. 3. 33.33 cents.
5. 2.
7. 
9. 
11. $0.50. 13. 51.
15. [a] 40, [b]
6.197, [c] 0.063, [d] 0.0630. 17. 0.0082.
19. 0.0559. 21. Approximately
100%.