These are problems which I would like you to think about  preferably before we do some of them together in class.  I will continue to update the list throughout the semester as we cover more material.

Chapter 1
Problems (page 16): 1-16, 17, 18, 19, 22, 23, 25, 27, 28, 30, 31, 32, 33
Self-Test Problems (page 22):  1, 2, 3, 5, 6, 9, 10, 11
For a summary of Chapter 1 and a shorter list of problems to practice with, click on
Chapter 1 summary .

Chapter 2
1, 3, 4, 5, 7, 8, 9, 10, 11, 12  (I suggest you do 9, 11 and 12 using a Venn diagram),
15, 16, 17, 18, 19,  22, 23, 31, 41(Prob 41, solution ), 44, 46 and 48 (these two have to do with the birthday problem), 49, 52-55 (these four can be done using the Inclusion-Exclusion formula).
For a summary of Chapter 2 and a shorter list of problems to practice with, click on
Chapter 2 summary .

Chapter 3
1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 16, 18, 21, 22, 23, 29, 35, 41, 44 (in 44, assume that in case A is the one who is to be executed, the jailor tells A with probability 1/2 that B is to be set free  and  with probability 1/2 that C is to be set free) , 47.  And for a few additional problems on conditional probability, click on conditional probability practice  
For a summary of Chapter 3 and a shorter list of problems to practice with, click on
Chapter 3 summary .

Chapter 4
1, 2, 4, 5, 6, 7, 8, 13.  Problems dealing with the binomial distribution are 6, 9, 18, 32, 40-46, 48-50, 64b, 71a, 74, and of these you will have to also use conditional probability to solve 44-46, 49, 50.
Problems dealing with the Poisson distribution are 51-61, 63, 64a, 65a,b and of these the ones which use conditional probability are 55, 57b, 60, 65b.  Problems dealing with the geometric distribution are 64c, 71b, 78.
The solutions to the ones not found at the back of the text are at chapter 4 solutions .
For a summary of Chapter 4 and a shorter list of problems to practice with, click on
Chapter 4 summary .

Chapter 5
1-8, are problems dealing with general continuous random variables. 
Problems dealing with a uniformly distributed random variable are 10-13, 17, 38, 40.  Problems dealing with a normal random variable  are 15, 16, 18-28 and of those,  20, 23, 25, 26, 27, 28 deal with the normal approximation to a binomial random variable.  Problems dealing with an exponentially distributed random variable are 32-34, 39.
The solutions to the ones not found at the back of the text are at chapter 5 solutions .
For a summary of Chapter 5 and a shorter list of problems to practice with, click on
Chapter 5 summary .

Chapter 6
1, 2a,4, 6-10, 12, 13, 18-23, 27-36, 39, 41, 42.
For detailed solutions, click on chapter 6 solutions .
For a summary of Chapter 6 and a shorter list of problems to practice with, click on
Chapter 6 summary .

Chapter 7
1, 3, 5, 6, 7, 8, 9, 11, 12(a), 15, 18, 21, 23, 30, 31, 33, 36, 38, 41, 50, 51, 53, 55, 56, 57, 63, 65a (i.e. just do expected value) .
For detailed solutions, click on chapter 7 solutions .
For a summary of Chapter 7 and a shorter list of problems to practice with, click on
Chapter 7 summary .