Download Probability and Statistics

Probability and Statistics
Name______________________________
2nd Nine Weeks Exam Review – Cumulative (No Probability Included)
1. Find the following using the table below:
x
2
4
y
46
40
6
32
8
29
10
22
12
17
A. Correlation Coefficient: ______________________
B. Regression Line Equation: ____________________________
C. Predict the value of x when y=10: _____________________
D. Predict the value of y when x=20: _____________________
2.
What kind of correlation would be expected between a person’s GPA and the amount of time he or she spends studying everyday?
3.
What kind of correlation would be expected between a person’s shoe size and mathematical ability?
4.
Flip a fair coin 3 times. List the sample space.
5.
A locker combination consists of 3 digits. How many combinations can be made if
a. repetitions are allowed?
b.
repetitions are NOT allowed?
6.
You have 3 pairs of pants, 4 shirts, and 2 pairs of shoes. How many different outfits can you wear, assuming all pieces can mix
and match?
7.
10 juniors and 5 seniors are running for student council. How many ways can a council of 2 juniors and 4 seniors be chosen?
8.
2 blocks are drawn from a box without replacement. Classify as independent or dependent.
9.
a) Draw the BEST regression line through the picture of the scatter plot:
b) State the SHAPE of the correlation.
c) Positive or Negative Correlation?
10. Identify the type of Correlation.
a)
b)
c)
11. List the sample space for the gender of 3 children.
12. Spin a 2 section spinner with colors blue and red and roll a die. List the sample space.
13. An I.D. badge consists of 7 digits. How many 7 digit I.D. codes can be assigned if
a. repetitions are allowed?
b.
repetitions are NOT allowed?
14. How many ways can a president, vice-president, and treasurer be selected from 12 people?
15. Sue wants to select 4 magazines from a bin containing 13 magazines to distribute to hospital patients. How many ways can this
be done?
16. How many ways can 3 juniors and 5 seniors be selected from a group of 8 juniors and 10 seniors?
17. A store manager wants to display 6 different brands of cereal in a row on a shelf. How many ways can this be done?
18. What kind of correlation would you expect between a person’s grade in class and how much money they spend on dinner?
19. If your standard deviation is known to be 4.18, what is your variance?
20. If your variance is known to be 174.24, what is your standard deviation?
21.
x
f
0-5
5 - 10
10 - 15
15 - 20
2
7
5
3
a) Identify the modal class:
b) Find the mean.
c) Find the # of degrees in the 3rd class.
22. If the average number of shoes owned by a teenager is 45, and the standard deviation is 5, find the z-score for a teenager who
owns 52 pairs of shoes.
23. Identify the type of sampling:
a) _______________ 6 groups of 50 are chosen based on color. I choose 15 from each group.
b) _______________ 7 groups of 50 are chosen based on heights. I choose everyone from 3 of the groups.
c) _______________ I choose every 13 th car part.
24. Use the following stem and leaf to answer the questions.
a) What is the mode?
S
1
2
3
4
L
0044789
23369
0155588
189
b) What is the sample size?
c) What is the range?