## Math 113: Study Guide - Chapters 3-4

- Circle all values that can / can not be probabilities.
- Know the probability of an event certain to happen and the probability of an event that can't
happen.
- Find the probability of an event when one outcome is more likely than the rest. Similar to the
dice problem where the six is three times as likely as every other number.
- For a family of either 2, 3, or 4 children (only one will be given on the test). List all the
possible outcomes of children. Then find the probabilities of specific outcomes.
- Given a probability distribution, find the mean, variance, and standard deviation (use the pdist
program on the calculator). Also know which two requirements must be satisfied for the
distribution to be a probability distribution. Look at problems 4.2.5-8.
- Read a news article. Decide if events are mutually exclusive. Decide if events are
independent. Decide if the event meets the requirements of a binomial experiment. Do some
work with the sampling error. Identify the type of sampling used. Give examples of non-sampling errors (listed in article).
- Given a joint frequency distribution (see table 3-1), find a joint probability, two marginal
probabilities, and two conditional probabilities.
- Work a binomial problem involving passing a test by getting so many questions right. Use the
binomial program on the calculator to find the answer.
- Given the number and type of candies in a bag, find the probability of selecting a specific
color on the first try; on the second try with replacement; on the second try without
replacement.
- Identify whether each experiment is binomial or not. If not, explain why.
- Find the mean and standard deviation of a binomial distribution (look at pg 214).
- Simulate an experiment using the calculator. Very similar to the simulation we performed in
class where we found the mean number of children that must be born to guarantee at least one
of each gender. Make sure you know how to generate random numbers with the calculator.
- Identify each pair of events as independent or dependent. Three parts. Look at problems
3.4.1-2

### Notes:

- Where references to the text are given, the problems are similar to, but not identical to
problems from the text.
- You may use your calculator, Statdisk, or both on the exam.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
Total |

Pts |
4 |
3 |
3 |
9 |
10 |
16 |
10 |
4 |
9 |
8 |
6 |
12 |
6 |
100 |