Exam # 2 Review
§Chapter 2. (From Section 2.5 only)
1. The data below represents the height in inches of students in a statistics class.
52 54 55 56 56 56 58 59 60 61
61 63 65 67 68 68 70 71 72
Find the first, second, and third quartiles.
Make a box plot of the data.
2. Find the quartiles, and make a box plot.
Weight (in pounds) of Dogs at a Kennel
1
2
3
4
5
6
7
8
9
10
|
|
|
|
|
|
|
|
|
|
02
147
78
155
07
5
6
3. Find the z-score of a CO2 value of the U.S.A.’s emissions of 19.8,
when the mean of the world’s top eight emissions is 8.3 and standard
deviation is 3.3.
4. The 2003 European Union unemployment rate had a mean of 7.1 and
standard deviation of 2.3. Spain had a rate of 11.2. What is its z-score?
§Chapter 3.
1. You have a blue and a green six-sided dice.
(A) What is the sample space that results from rolling these two dice?
(B) Which outcomes are those that have at least a 5 on the green die?
(C) How many outcomes are in the event of “getting a sum of 4”?
2. How many total pairs of lower case letters, with replacement, are possible?
How many total pairs of lower case letters, without replacement, are
possible?
How does your answers change if you allow for a mix of lower and upper case letters, with replacement?
You are allowed to have a mix of lower and upper case letters, but you
cannot repeat a letter. How many pairs are possible?
3. A restaurant menu has 5 appetizers, 10 main dishes, 4 desserts, and 5
drinks. How many different meals can you order?
4. A Utah license plate contains 6 characters: 1 letter, followed by 3
numbers, followed by 2 letters (letters and numbers can repeat). How
many different license plates can the state of Utah issue?
What if the letters and numbers cannot be repeated?
5. A dime and a nickel are tossed. Find the probability that there are
(A) two heads up.
(B) one head up and one tail up.
(C) at least one tail up.
6. A card is drawn from a shuffled standard deck of playing cards. Find
the probability that:
(A) The card is an ace
(B) The card is a diamond
(C) The card is a diamond or a heart.
(D) The card is a club or an ace.
7. Two dice are tossed and the sum is recorded. What is the probability
that the sum is seven or eleven?
8. Assume that the probability of having a boy in a family is 0.4, and each
child’s sex is independent. A family plans to have 5 children. What is
the probabilty that:
(A) all children are boys
(B) all chiildren are of the same sex
(C) there is at least one girl
9. A study of the effect of coffee on gall stones is conducted.
Gall stone disease No disease
No coffee
385
14,068
Coffee
91
4,806
Use conditional probability or the multiplication rule to find:
(A) The probability that a patient has a gall stone disease, given that
he/she did not consume coffee.
(B) Does not have a gall stone disease, given that he/she does not
consume coffee.
10. The probability that a student will pass organic chemistry is 0.85.
Three students are randomly selected. Find:
(A) The probabilty that all 3 will pass.
(B) None of the 3 students will pass.
(C) At least one student will pass.
11. A three person jury must be selected at random (without replacement)
from a pool of 12 people that has 7 men and 5 women. How many ways
can a jury of (A) all females be made? (B) all males can be made?
What is the probability of each?
12. A student from a university is selected at random:
Psychology major Non-Psychology major
Males
150
9,750
Females
375
11,300
Find the probabilities:
(A) the student is a female or a psychology major
(B) the student is a male or not a psychology major
(C) the student is a male and a psychology major
(D) the student is a male, given that the student is psychology major
(E) the student is a male or a psychology major
13. Calculate:
6! =
10 P2
10 C3
12 C4
=
=
8 C6
=
16!
13! · 3!
8!
=
2! · 2! · 4!
14. 20 runners enter a competition. How many ways can they finish 1st,
2nd, and 3rd?
15. 30 passengers need to check-in. The airline representative upgrades 5
to first class. How many ways can the airline representative do this?
16. A shipment of 40 calculators has 5 defective units. How many ways
can a store buy 20 and receive:
(A) no defective units
(B) one defective unit
(C) at least 17 non-defective units
(D) at most two defective units. What is the probability of this event?