1) A jar contains 10 red marbles numbered 1 to 10 and 5 blue marbles numbered 1 to 5. A marble is drawn at random from the jar. Find the probability of the given events below.Show your workand express your probabilities in rational number (fraction) form.

(a) P(The marble is red) =

(b) P(The marble is odd-numbered) =

(c) P(The marble is red OR odd-numbered) =

(d) P(The marble is blue AND even-numbered) =

2. A jar contains 7 lemon jawbreakers, 3 cherry jawbreakers, and 8 rainbow jawbreakers. What is the probability of selecting 2 lemon jawbreakers in succession providing the jawbreaker drawn first is then replaced before the second is drawn?

3. There are 3 quarters, 4 dimes, and 7 nickels in a change purse. Suppose 3 coins are to be selected without replacement. What is the probability of selecting a quarter, then a dime, and then a nickel?

Find the number of possibilities in each scenario.

4. Darryl has homework assignments in six subjects. He only has time to do three of them.

5. There are 20 athletes at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?

6. A group of 50 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

7. Fill in each blank withalways, sometimes,orneverto make a true statement.

a.The median and the mode of a set of data are ----------the same.

b.A scatter plot -----------involves two variables.

c.Data sets ------------have outliers.

d.A mean ------------is an outlier.

e.A data set ------------has a mode.

Ten students' quiz scores are shown here. Use them for problems 8-10.

Scores: 20, 20, 19, 17, 17, 16, 16, 14, 11, 0

8. Find the average (mean) of these scores. Show your work.

9. Find the median of these scores. Show your work.

10. A)Write the five-number summary for these scoresAND

B)Draw an accurate box plot for the data. Pay attention to correct scale. Show this clearly and neatly.

11. Based on the following chart, how many students got a "C" or better on the project? Show work/reasoning.

\fRed Beans 7 9 O Length (mm)Which box plot below-A, B, or C-matches the stem 023 3 plot shown at the right? Explain what you looked for 1 4567 7999 to make the match. 2 2 23555889 3 24 45666 Analyze and draw conclusions. Score is 4001267 based on the evidence provided. Insufficient Evidence = 0-1 detail 5 123 34 Partially Proficient = 2 details 605 Proficient = 3 details 7 1 Advanced = 4 details\fa. After traveling 70 meters in its dive, the submarine is at a depth of 25 meters. What will the submarine's depth be if it continues its dive for another 110 meters? b. If the submarine continues on its present course and travels a total of 300 meters in its dive, what will the nal depth of the submarine be? c. [mamaof 200 meters, how fa . . V . _