# Exam 2 Study Guide: Probability

1. Find the probabilities of some simple events. Four parts. Look at homework 7.
2. Find the probabilities of some compound events using the multiplication rules. Five parts. Look at homework 7.
3. Tell whether or not the probability assignments are plausible. Five parts.
4. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Ten parts.
5. The values of ∑x2p(x) and ∑xp(x) are given for a probability distribution. Use them to find the mean, variance, and standard deviation of the probability distribution.
6. Use a joint frequency distribution (contingency table) to find some probabilities. Twelve parts. Look at the homework 6. Leave your answers as fractions.
7. Create a tree diagram that illustrates the described situation. Use the tree diagram to complete a table of joint probabilities. Then use the table to answer some probability questions.
8. Find the mean and standard deviation of a binomial experiment. Use them to label a bell-shaped curve. Also label the bell curve to illustrate the 68-95-99.7 rule. This is sort of like question 1 on homework 9.
9. The mean and standard deviation for a binomial distribution are given. Use them to find the number of trials, the probability of success on a single trial, and the probability of failure on a single trial.
10. Find the expected value and standard deviation for a probability distribution. The probability distribution is given, but you need to know the formulas for finding the mean and standard deviation. This is like question 2 on homework 8.
11. You are given a table with columns for the z-score, area to the left of the z-score, area to the right of the z-score, and twice the smaller area. You will be given one piece of information and asked to find the other values. Seven parts. Look at homework 10.
12. The mean and standard deviation for a non-standard normal distribution is given. Find the probability of one randomly selected individual having a certain value. Find the raw score that goes along with a certain probability. Look at homework 11. Draw a picture to illustrate the situation.
13. Given the number of values, mean, and variation; find the variance, standard deviation, sum of the values, and the sum of the squares of the values.
14. Some statistics (chosen from the mean, median, range, standard deviation, variance, interquartile range, midrange, mode, quartiles, percentiles) for a dataset are given. Determine what those statistics will be after the indicated transformation is applied. Three translations. Look at homework 5.
15. Given a small set of numbers, find some percentiles. Two parts. This is a reading comprehension problem, I've changed the instructions on how to find a percentile from what we used on the first test, but those instructions are given on the exam.

## Notes

• You will need a calculator.