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

1. Circle all values that can / can not be probabilities.
2. Know the probability of an event certain to happen and the probability of an event which can't happen.
3. Find the probability of an event when one outcome is more likely than the rest. Similar to the dice problem from the right board where the six is three times as likely as every other number.
4. 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.
5. 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*
6. Read a news article. Decide if events are mutually exclusive. 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.
7. Given a joint frequency distribution (see table 3-1), find a joint probability, two marginal probabilities, and two conditional probabilities.
8. 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.
9. 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.
10. Identify whether each experiment is binomial or not. If not, explain why.
11. Find the mean and standard deviation of a binomial distribution (look at pg 214).
12. 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.
13. Identify each pair of events as independent or dependent. Three parts. Look at problems 3.4.1-2

### Notes:

• *'d problems are directly from the text.
• Where references to the text are given, but there is no *, the problems are similar to, but not identical to problems from the text.
 # 1 2 3 4 5 6 7 8 9 10 11 12 13 Total Pts 4 3 3 9 8 17 10 4 9 8 6 12 6 99