MATH 10 – STUDY GUIDE FOR TEST ON CHAPTERS 4-5
1. Identify a probability value. If a school has 350 boys and 275 girls, find the probability that a randomly selected student is a girl.
2. Determine whether an event is unusual. If 576 our of 593 flights are on-time, is it "unusual" for a flight to be late?
3. Determine whether events are mutually exclusive. Ex: Example: Being over 20 years old, and being over 30 years old. Example: Being over 40 years old and being under 20 years old.
4. Find the probability of a complement. Know the notation.
5. Given that the probability of an event is 12/35, find the odds in favor of the event (or the odds against the event).
6. Given that the odds in favor of an event are 3 to 7, find the probability of the event.
7. Use the addition rule. If a spinner has equal regions numbered from 1 to 20, find the probability that the spinner will land on an odd number or a number greater than 12?
8. Use the multiplication rule for independent events; Use the multiplication rule for dependent events
(1) Find probability of getting "heads" with a coin and rolling a "5" on a 6-sided die.
(2) Find probability of selecting two red candies in a row from a bag containing 5 red and 3 blue candies
9. Find the probability of "at least one." A multiple choice quiz has 5 questions, with 4 choices for each question. If a student makes random guesses on all the questions, what is the probability of getting at least one correct answer?
10. Given a 2 by 2 table, calculate a conditional probability. (Be able to analyze the sentence "Find the probability that ____ given that ____ ")
11. Determine whether a given set of values of x and p(x) constitute a probability distribution. (Are the probabilities all between 0 and 1, and do they add up to 1?)
12. Given a probability distribution, find the mean of the distribution
13. In a game, you have a 1/24 probability of winning $100 and a 23/24 probability of losing $5. What is your expected value?
14. Given that a procedure results in a binomial distribution, find P(x) if n = 12, p = 0.32, and x = 4.
15. Determine whether a given random variable is discrete or continuous. Examples: Temperature of a cup of coffee; Number of children in a classroom.
16. Given n and p in a binomial distribution, find
(1) the mean and standard deviation (using the shortcut formula)
(2) the minimum usual value μ - 2σ and the maximum usual value μ + 2σ
17. There are 13 people on a committee. If they must form a subcommittee of 5 members, how many possible subcommittees are there?
18. There are 13 players on a basketball team. How many possible starting lineups are there (center, right and left forward, right and left guard)?
19. Evaluate expressions like the following (you should be able to do so with or without a calculator):
7C3
7P3
4!
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Return to: Merced College; Don Power Updated 11/03/09 by Don Power