Additional Textbook Problems

Combinatorics:

• Ross - Chapter 1, Self-Test Problems: 1-19 (Detailed solutions in the back of the book)

• Ross - Chapter 1 Problems: 1 - 23.

Probability Axioms + Biological Examples:

• Ross - Chapter 2, Self Test Problems 1 - 8, 9a, 10, 18, 19, 20.

• Ross - Chapter 2, 'Problems' 1 - 12, 15, 17, 18, 19, 23, 24.

• Adler - Section 6.1 'Exercises' 1, 2, 5, 6, 9, 11, 13, 23

• Adler - Section 6.2 'Exercises' 1, 3, 11, 13, 15, 17, 35, 37

• Adler - Section 6.3 'Exercices' 1, 5, 7, 9, 11, 17, 19, 23, 25

Conditioning, Bayes' Theorem, and Independence:

• Ross - Chapter 3, 'Problems' 1 - 3, 5 - 12, 14 - 24, 26, 28, 29, 30, 33, 35, 37, 43.

• Ross - Chapter 3, 'Self-Test Problems' 1 - 4, 7, 9 - 15, 25, 26.

• Adler - Section 6.4 'Exercises' 5, 9, 11, 13, 15, 17, 27, 37, 39, 41

• Adler - Section 6.5 'Exercises' 7, 9, 15, 21, 33, 35

Random Variables and Expectation:

• Ross - Chapter 4, 'Problems' 1, 2, 3, 4, 5, 7 12, 13, 14, 27

• Ross - Chapter 4, 'Self-Test Problems' 1 - 7

• Ross - Chapter 5, 'Problems' 2 - 8, 10, 11, 13

• Ross - Chapter 5, 'Self Test Problems' 1 - 7

Median, Mode, and Variance:

• Ross - Chapter 4, 'Problems' 35 - 38.

• Adler - Section 6.8 'Exercises' 1, 9, 11, 15, 17, 27, 33

• Adler - Section 6.9 'Exercises' 9, 11, 13, 15

Joint Distributions and Covariance:

• Adler - Section 7.1 'Exercises' 1, 3, 9, 11, 13, 14, 15, 27.

• Adler - Section 7.2 'Exercises' 1, 3, 5, 7, 9, 11, 17, 25.

• Adler - Section 7.3 'Exercises' 1, 3, 5, 7, 9, 11, 13, 15.

Binomial Distribution:

• Ross - Chapter 4 'Problems' 33, 46

• Ross - Chapter 4 'Self-Test Problems' 9,

• Adler - Section 7.4 'Exercises' 3, 9, 13, 15, 17, 19, 35, 45, 47

Normal Distribution:

• Adler - Section 7.8 'Exercises' 9 - 16.

• Ross - Chapter 5 'Problems' 15, 16, 18, 20, 21, 22

• Ross - Chapter 5 'Self-Test Problems' 8, 9, 10, 11

Limit Theorems

• Adler - Section 7.8 'Exercises' 1 - 8.

• Ross - Chapter 8 'Problems' 1 - 8, 11, 13, 15, 16

Geometric and Exponential Distribution

• Adler - Section 7.6 'Exercises' 1, 3, 5, 7, 11, 15, 37, 39.

• Ross - Chapter 4 'Problems' 28, 30.

• Ross - Chapter 4 'Self-Test Problems' 3, 18, 22.

• Ross - Chapter 5 'Problems' 32, 33, 34

• Ross - Chapter 5 'Self-Test Problems' 18, 19

Poisson Distribution

• Ross - Chapter 4 'Problems' 52 - 55, 56 (google the "Birthday Problem"), 57.

• Ross - Chapter 4 'Self-Test Problems' 14, 15.

• Adler - Section 7.7 ' Exercises' 15 - 18, 27 - 30, 41 - 44.