640:477:01
Mathematical Theory of Probability
Fall 2020
Assignments and Solutions
-
1. Read Chapters 1 and 2.1-2.3.
PROBLEMS, p.15ff: 1,7*,8,14,15,20,23,29,30,34 [12,13,18,21,26,27,31 in the ninth edition]
THEORETICAL EXERCISES, p.18ff: 8,12a,18,20
SELF-TEST, p.20: 2,3,7
Solutions to
assignment 1
- 2. Read 2.4.
P p.50: 1,2,3,4
TE p.55ff: 1,2,3,4,6*,7,9. (For 1, 2, and 3 it's OK to use Venn Diagrams.)
ST p.56: 1
Solutions to
assignment 2
- 3. Read 2.5-7.
P p.50ff: 8,9,10,12ab,13*,14
TE p.55: 11*,12
ST p.57: 14
Solutions to
assignment 3
- 4. Read 3.1-3.
P p.51ff:
15*,16c,18,25,28,32,33*,35ab,37,42,43,48,49,51,52,54,56*
TE p.55ff: 15,20
ST p.56ff: 3,6,12
Solutions to
assignment 4
- 5. Read 3.4,3.5.
P p.103ff:
1,5,7,8,9,10*,16,19,28,32*,37,45*,49 [15,18,26,30*,35,43*,47 in the ninth edition]
Solutions to
assignment 5
- 6. Read 4.1,4.2,4.10.
P p.107ff: 51,60,62c,65,76*,77*,82 [49a,55,57c,60,73*,74*,79 in the ninth edition]
TE p.113ff: 6*,7a*,14,(23:Extra Credit)
ST p.117: 21
Solutions to
assignment 6
- 7.
P p.111ff: 84,85,86,87,93 [81,82,83,84,89 in the ninth edition]
TE p.115: 28
P p.175ff: 1*,4*,5,6,7,8,14
Solutions to
assignment 7
- 8. Read 4.3,4.4,4.5.
P p.176ff: 13,17*,19*
TE p.182ff: 2,3(α > 0),15a,31a* [14a,30a* in the ninth edition]
Solutions to
assignment 8
- 9. Read 4.6,4.8.1,4.8.2,4.8.3.
P p.177ff: 21,27,30,31*,35*,38,39* [37,38* in the ninth edition]
TE p.183: 5,6,7*
Solutions to
assignment 9
Exam I: Tuesday October 13
- 10. Read 4.9.
P p.178ff: 41,42,44,45,46,53,74,75,78 [40,41,43,44,45,50,71,72,75 in the ninth edition]
TE p.183ff: 15b,28 [14b,27 in the ninth edition]
Solutions to
assignment 10
- CUAR. Read 4.7 for Friday, October 16; next meeting, Tuesday, October 13:
Exam I
- 11. Read 5.1,5.2,5.3.
P p.180ff: 54*,56,59,60*,61,62,63,66*,85 (as written and with the
assumption that exactly 2 components in each lot are defective) [51*,53,56,57*,58,59,60,63*,82 in the ninth edition]
TE p.184ff: 17,19 [16,18 in the ninth edition]
Solutions to
assignment 11
- 12. Read 5.4,5.5.
P p.228ff: 1,2,3,(4ab)*,5,6ab,6c*,8,10,11,13*,14
TE p.232: 6*,13a (compute also the median for the RV of problem 4,
page 228)
Solutions to
assignment 12
- 13. Read 5.6,5.7.
P p.229ff: 15*,16,17,23*,26,27,32,34
TE p.232: 13bc,14bc,15
Solutions to
assignment 13
- 14. Read 6.1.
P p.231: 38,40*,42* [37,39*,40* in the ninth edition]
TE p.233: 27*,29,30*
Solutions to
assignment 14
- 15. Read 6.2,6.3.
P p.291ff: 1,7,8*,9*,10,19*
Solutions to
assignment 15
- 16. Read 6.4-7.
P p.292ff: 13,15*,16,18* from the ninth edition, see assignment in canvas,20*
TE p.296: 3,5 (Ignore last sentence: "Evaluate ... ".)
Solutions to
assignment 16
- 17. Read 7.1,7.2
P p.294ff: 42,44,45a*,46* (Warning: The answer in the back is the
corresponding cdf.)
TE p.296ff: 9, 20*
Solutions to
assignment 17
Exam II: Wednesday November 25
- 18. Read 7.3,7.4
P p.378ff: 4,5*,6*,14,15*,19,21,23*,34a
TE p.385ff: 1,11 [10 in the ninth edition]
Solutions to
assignment 18
- 19. Read 7.5,7.6
P p.381: 33,34b,36*,40*,44 [38*,42 in the ninth edition]
TE p.387: 20 [19 in the ninth edition](The exercise should begin with "Show that if".)
Solutions to
assignment 19
- 20. Read 7.7,7.8
P p.382ff: 50ab,52*,55*,59,73ab [48ab,50*,53*,57,68ab in the ninth edition]
TE p.388: 30 [29 in the ninth edition]
Solutions to
assignment 20
- 21.
P p.385: 80* [75* in the ninth edition]
TE p.389ff: 46,51,52* [45,50,51* in the ninth edition]
Solutions to
assignment 21
- CUAR. Read 8.1,8.2 for Tuesday December 1; next meeting, Wednesday
November 25: Exam II
- 22. Read 8.3
P p.424: 1,2*
TE p.426: 1*
Solutions to
assignment 22
- 23.
P p.424ff: 3,4*,5*
TE p.427: 8,9
Solutions to
assignment 23
- CUAR. Friday, December 11, 11:30 - 12:50
Final Exam: Monday, December 21, 8:00 - 11:00 AM via BBB