CSE 321 Winter 2010
Homework #8

Due Friday, March 5th, at the start of lecture.  Bring to class to
turn in.

1 [10]. Rosen Chapter 6.1. problem 16.

2 [20]. A die is rolled several times.  

    (a) Find the probability of rolling at least one six when the die
    is rolled four times.

    (b) Find the probability of rolling at least two sixes when the die
    is rolled four times.

    (c) Find the probability of rolling at least two sixes in a row when
    the die is rolled four times.

    (d) Find the probability of rolling exactly five sixes when the
    die is rolled ten times.

3 [15]. Rosen Chapter 6.2 problem 12.

4 [10]. Rosen Chapter 6.2 problem 24.

5 [10]. Rosen Chapter 6.3 problem 8.

6 [15]. Rosen Chapter 6.3 problem 14.

7 [10]. Rosen Chapter 6.4 problem 4.

8 [10]. Rosen Chapter 6.4 problem 6.

Extra Credit [5].  We roll a die repeatedly, until we get two sixes in a
row, then we stop.  Find the expected number of times we have to roll
the die.