Review for Probability and Statistics Test

Amazing Race

Review for Probability and Statistics Test

AlgebraA - Answers

Round1 – Counting Outcomes

1.  Find the value of 6! = 720

2.  A sub sandwich restaurant offers four types of sub sandwiches, three different types of potato chips, five types of bread, and six different beverages. How many different sandwich and drink combinations can you order? 360

3.  In how many ways can you arrange 5 boxes of cereal on a shelf? 120

Round2 – Permutations and Combinations

nPr = n!n-r! nCr = n!n-r!r!

4.  An arrangement or listing where order is important. PERMUTATION

5.  7P4 = 840

6.  How many passwords are possible if you can choose from digits 1,2,3,4,7,8 & 9 and the password is 5 digits long with no repeats. 2520

7.  7C3 =35

8.  How many different committees are possible when you have ten members and need to choose 4 people to serve on the committee? 210

Round3 – Dependent Events

A bag contains 3 red, 4 blue, and 6 yellow marbles. One marble is selected at a time, and once a marble is selected, it is not replaced. Find each probability.

9.  P(2 yellow) = 5/26

10. P(red, yellow) = 3/26

11. P(blue, red, yellow) 6/143

Round4 – Mutually Exclusive Events

12. P(rolling a 2 or a 3 on a die) = 1/3

13. P(jack or ten) = 2/13

14. P(red or black) = 1

Round5 – Inclusive Events

15. P(King or Hearts) = 9/26

16. P(queen or clubs) = 4/13

17. P(jack or clubs) = 4/13

Round6 – Box and Whisker Plot – Box plots

18. What is the median? 79 (78 is close)

19. What is the range? 98 – 54 = 44

20. What is the interquartile range of the data? 90-66 = 24

21. What fractional part of the data is greater than 66? ¾

Round7 - Correlations

Choose positive, negative, or none to describe each relationship.

22. Temperature, snow shovel sales - negative

23. Miles driven, gas used - positive

24. Hair color, GPA - none