STA 2023 EXAM 1 Review Chapters 1 - 3 1. The following are ...

STA 2023
EXAM 1 Review
Chapters 1 - 3
1. The following are several items pertaining to individuals. Identify the data as qualitative or quantitative.
a) height b) weight c) temperature
d) gender e) number of siblings f) religion
g) place of birth h) phone number
2. Given the following sample data set 8 12 9 8 9 8 7 8
Calculate
a) sample mean b) median c) mode
d) range e) sample variance f) sample standard deviation
3. It is known that a coffee machine dispenses an average of 6 fluid oz of coffee per cup with a standard
deviation of 0.2 fluid oz. Use Chebychev’s Theorem to
a) find an interval centered about the mean in which at least 75% of the cups of coffee dispensed by the
machine will fall
b) find at least what proportion of the cups will contain between 5.4 and 6.6 fluid ounces.
4. A student scored 76 on a science test where the class mean was 82 and the standard deviation was 8; he also
scored 53 on a psychology test where the class mean was 58 and the standard deviation was 3. In which
class was his relative position higher
5. A man has 3 sports jackets, eight ties, and four vests. How many different outfits can he wear
6. Suppose 8 people enter an event in a swim meet. Assuming there are no ties, in how many ways could the
gold, silver, and bronze prizes be awarded
7. The new release section of your favorite video store has eight dramas and six comedies.
a) How many ways can 5 movies be selected
b) How many ways can 2 dramas and 3 comedies be selected
8. Two cards are drawn from a standard deck of 52 cards without replacement.
a) Are the events independent or dependent
Find the probability of
b) getting 2 Jacks c) getting at least one club
d) getting an Ace and then a King e) getting an Ace and a King in any order

9. An urn contain 3 red balls, 2 blue balls, and 5 white balls. Two balls are selected with replacement.
a) Are the events independent or dependent
Find the probability of
b) selecting 2 blue balls
c) selecting a blue and then a white ball
d) selecting a blue and a white ball in either order.
10. The admissions office at a university examined the current enrollment records of 600 sophomore, junior, and
senior students. They noted the number of hours in which each student was enrolled for the current term.
Less than
10 hours
10 to 15
hours
More than
15 hours
Sophomore 45 125 55
Junior 70 60 70
Senior 80 25 70
Suppose the record of one of these students is randomly selected. Find
a) The probability the student is a sophomore.
b) The probability the student is taking between 10 and 15 hours.
c) The probability the student is a junior or taking less than 10 hours.
d) The probability the student is a sophomore and taking more than 15 hours.
e) The probability they are taking more than 15 hours, given the student is a sophomore.
f) The probability the student in a senior, given the student is taking less than 10 hours.
g) Are the events “Junior” and “10 to 15 hours” mutually exclusive Why
ANSWERS
1a) quantitative b) quantitative c) quantitative d) qualitative e) quantitative f) qualitative g) qualitative
h) qualitative
2a) 8.625 b) 8 c) 8 d) 5 e) 2.2679 f) 1.506
3a) 5.6 oz, 6.4 oz b) at least 89%
4) Science
5) 96
6) 336
7a) 2002 b) 560
8a) Dependent b) 0.005 c) 0.441 d) 0.006 e) 0.012
9a) Independent b) 0.04 c) 0.10 d) 0.20
10a) 0.375 b) 0.35 c) 0.542 d) 0.092 e) 0.244 f) 0.410 g) no; P(junior and 10-15 hours)≠0