Section 9.4: Mathematical Expectation
Homework Hints

Problem 1
This problem is essential for this section.

Problem 2
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax. Do not be afraid to give your opinion. There is no right or wrong answer, but you should spend about five minutes in answering this question.

Problems 3-6
These true/false questions are here at the beginning of the problem set to make sure you undersand the essential ideas of this section.

Problems 7-12
These are estimation problems so they should not be worked with a paper and pencil or with a calculator.

Problems 13-15
See Example 1.

Problems 16-19
See Example 2.

Problem 20
See Example 4.

Problems 21-26
See Example 5.

Problems 27-36
See Example 7.

Problems 37-38
See Example 3.

Problem 39
See Example 6.

Problems 40-42
See Example 8.

Problems 43-46
See Example 3.

Problems 47-48
You should assume that the dart always hits the dartboard. If a given amount occupies 1/2 of the dartboard, then the probability that a dart will hit that portion is 1/2. Use the definition of mathematical expectation to calculate the total expectation for these problems.

Problems 49-51
See Example 4.

Problems 52-53
These problems show an application of the material of this section to the real world. There is no right or wrong answer for Problem 54. Just be as thoughtful as you can be when answering this question.

Note: Homework Hints are given only for the levels 1 and 2 problems. You can also check some sources for homework help on the Internet (see Links, below), or you can call the author at (707) 829-0606 or send an e-mail to: smithkjs@mathnature.com