2. in How Many Ways Can 4 Distinct Positions for a Relay Race Be Assigned from a Team Of

WS CHAPTER 11Algebra 2 TrigName______

1. How many 2-letter pairs of 1 vowel and 1 consonant can you make from the English alphabet? Consider “y” to be a consonant.

2. In how many ways can 4 distinct positions for a relay race be assigned from a team of 9 runners?

3. Thirty people apply for 10 job openings as welders. How many different groups of people can be hired?

4. You draw the names of 5 raffle winners from a basket of 50 names. Each person wins the same prize. How many different groups of winners could you draw?

5. A paint store offers 15 different shades of blue. How many different ways could you purchase 3 shades of blue?

6. There are 225 juniors and 255 seniors at your school. The school chooses 5 juniors and seniors as Student All-Stars. What is the theoretical probability that exactly 2 of the Student All-Stars will be juniors?

7. What is the theoretical probability of being dealt exactly two Aces in a 5 card hand?

8. Tim Duncan took 50 shots during the second round of the NBA playoffs. He banks 23 shots. What is the experimental probability that he will take a bank shot in the next game?

9. You have a drawer with five pairs of white socks, three pairs of black socks, and one pair of red socks. You choose one pair of socks at random each morning, starting on Monday. You do not put the socks you choose back in the drawer. Find the probability of each even.

a. You select black socks on Monday and white socks on Tuesday.

b. You select white socks on Monday and Tuesday.

10. A bucket contains 15 blue pens, 35 black pens, and 40 red pens. You pick one pen at random. Find each theoretical probability.

a. P(black pen or not a red pen)b. P(blue pen or red pen)

11. You randomly choose a natural number from 1 to 10. What is the probability that you choose a multiple of 2 or 3?

12. The spinner shown at the right has four equal-sized sections. Suppose you spin the spinner two times. What is the theoretical probability of getting a sum of 4?

13. Is the following pair of events dependent or independent?

a. A member of the junior class is selected as junior class president, a freshman

is selected as freshman class president.

b. The sum of two rolls of a number cube is 6, the product of the same two rolls is 8.

14. You randomly select an integer from 1 to 100. State whether the events are mutually exclusive. Explain.

a. The integer is less than 40, the integer is greater than 50.

b. The integer is less than 50, the integer is greater than 40.

WS CHAPTER 11 CONT.Algebra 2 TrigPg 2

15. A fair number cube is tossed. Find each probability.

a. P(even or 3)b. P(less than 2 or even)c. P(prime or 4)

16. Find the mean, median, and mode.

Customers per day. 98, 87, 79, 82, 101, 99, 97, 97, 102, 91, 93

17. Identify the outlier of each set of values.

a. 32 35 3 36 37 35 38 40 42 34b. 153 156 176 156 165 110 159 169 172

18. The list gives the average temperatures in January for several cities in the mid-South. Make a box-and-whisker plot of the data.

49.1, 50.8, 42.9, 44.0, 44.2, 51.4, 45.7, 39.9, 50.8, 46.7, 52.4, 50.4

19. Make a box-and-whisker plot for the following set of values.

2 8 3 7 3 6 4 9 10 15 21 29 32 30 5 7 32 4 11 13 11 14 10 12 13 15

20. Find the values at the 20th and 80th percentiles for each set of values.

a. 188 168 174 198 186 170 180 182 186 176

b. 376 324 346 348 350 352 356 368 345 360

21. Sue the data for average daily water usage of a family during the past 10 months. Find the mean and the standard deviation of the data. How many items in the data set fall within one standard deviation of the mean? Within two standard deviations?

124 gal113 gal152 gal545 gal150 gal

490 gal442 gal207 gal124 gal147 gal

22. Find the mean, variance and standard deviation for each data set.

a. 232 254 264 274 287 312 342 298b. 26 27 28 28 28 29 30 30 32 35 35 36

23. Determine the whole number of standard deviations that include all data values. The hour’s students in your study group study is 66.1 min; the standard deviation is 2.9 min.

62 63 65 64 64 68 68 69 72 66

24. Identify the sampling method. Then identify any bias in each method.

a. A teacher committee wants to find how much time students spend reading each week. They ask students as they enter the library.

b. The students planning the junior class party want to know what kinds of pizza to buy. They ask the pizza restaurant what kinds sell the most.

c. The county road department wants to know which roads cause the most concern among the residents of the county. They ask the local restaurants to hand out survey forms for customers to return by mail.

25. Identify the type of study method described in each situation, and explain whether the sample statistics should be used to make a general conclusion about the population.

a. A company that manufactures light bulbs selects 3 bulbs manufactured each day at random. Then these bulbs are tested to see how many hours they last.

b. A high-school principal wants to determine what classes students at the school would like to see added next year. He selects every 10th student listed in the school’s database and asks each of them to list the 3 classes they would most like to see added to the school’s class list.