Probability of Advertisement Exposure and Committee Selection in Economics 321 Exam, Exams of Economic statistics

Download Probability of Advertisement Exposure and Committee Selection in Economics 321 Exam and more Exams Economic statistics in PDF only on Docsity!

Economics 321

Short Exam

October 2, 1992

The president of the 2-M Company is the head of a board of directors consist- ing of 9 women and 7 men. The presi- dent wishes to choose a committee of 5 to study the possibility of a merger with the 4-M Company. In how many ways can this committee be chosen if it is to consist of 4 men and 1 women?

a. 42

b. 153

c. 315

d. 4368

e. 21

2. In how many ways can this committee be chosen if there are no restrictions on the gender of the members?

a. 378

b. 4368

c. 21

d. 126

e. 21474180

5. B = {even number appears ]

-

b-

-3-

«» *

• £

Assume that in a marketing study it has been found that on a fall Saturday afternoon 15% of adult men watch sports programming on net- work A from 1:OOPM to 2:OOPM, 35% watch sports programming on network C from 2:OOPM to 3:OOPM, and 4% watch on both networks. For simplicity, assume that viewers of these pro- grams are sure to see advertisements if they are watching a program.

If Chips 'n' Fish Restaurants advertise only on network C during the sports pro- gramming segment, what is the probabil- ity that the ad will be seen by a randomly chosen adult male?

3. In how many ways can this committee be chosen if it is to consist of all women?

a. 42

b. 33649

c. 126

d. 4368

e. 100947

A single fair die is thrown. Find the probability that should be assigned to each of the events A, B, C, and D defined by:

4. A={odd number appears}

b.

c - f

d. 1

A C - (^) * * 50

7. What would be the probability if they ad- vertise on both networks? a. 1 b. I c. (^2350)

1 25

8. If they advertise on both networks, what is the probability that an ad will be seen only on network A?

a - f b. 1 C. i

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

John is the owner of a drive-through wildlife preserve containing a small herd of deer con- sisting of 9 adult bucks, 8 adult does, and 6 yearling fawns. To check the health of the herd John will randomly select 3 animals for exami- nation.

9. What is the probability that none are adult bucks? a a - bu- c

253 253 253

Jack's Lumber and Supply Company classifies its accounts as either retail or wholesale with 32% being retail accounts. These different ac- counts are processed by the retail and wholesale divisions, respectively. Clerks in the retail divi- sion make errors in 3% of their accounts, while those in the wholesale division make errors in 4% of their accounts.

13. If an auditor chooses an account at ran dom, what is the probability that it will be hi error a*' -_ 2500

253

10, What is the probability that exactly one is a yearling fawn?

a.

b.

c.

d.

816 1771 1224 1771 1632 1771 2040 1771 7344 1771

Assume that 39.% of the families living in Birm- ingham have children of elementary school age. A mail order firm specializing in clothes for chil- dren in this age group will randomly select fam- ilies to receive a catalog. Consider 7 particular families receiving catalogs.

11. What is the probability that all have an elementary school age child?

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

C*"

e

-- 625 -22. 625 -S- 625

14. If an auditor finds a randomly chosen ac count to be in error, what is the proba bility that it is a retail account? a. iZ 23 b ' 625 '• A

d- &

e -iZ-

**- 625

12. What is the probability that at least one has an elementary school age child?**

50

10.

b. I

i

25

John is the owner of a drive-through wildlife preserve containing a small herd of deer con- sisting of 9 adult bucks, 8 adult does, and 6 yearling fawns. To check the health of the herd John will randomly select 3 animals for exami- nation.

9. What is the probability that none are adult bucks?

hD - c*"

e

253 12§ 253 -ZS. 253 i2° 253 -32- 253

What is the probability that exactly one is a yearling fawn?

a.

c.

d.

e.

816 1771 1224 1771 1632 1771 2040 1771 7344 1771

Assume that 39.% of the families living in Birm- ingham have children of elementary school age. A mail order firm specializing in clothes for chil- dren in this age group will randomly select fam- ilies to receive a catalog. Consider 7 particular families receiving catalogs.

11. What is the probability that all have an elementary school age child?

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

a. 0. b. 0. c. 0. d. 0. e. 0.

Jack's Lumber and Supply Company classifies its accounts as either retail or wholesale with 32% being retail accounts. These different ac- counts are processed by the retail arid wholesale divisions, respectively. Clerks in the retail divi- sion make errors in 3% of their accounts, while those in the wholesale division make errors in 4% of their accounts.

13. If an auditor chooses an account at ran dom, what is the probability that it will be in error

aa-

cc-

-_ 2500

-- 625 d -22- Q - 625 __ 625

If an auditor finds a randomly chosen ac count to be in error, what is the proba bility that it is a retail account? aa- ±2 23

b - 6§ c- S d Q - (^) -22- 625 ec- -12- 625

12. What is the probability that at least one has an elementary school age child?

Economics 321

Short Exam

October 2, 1992

1. The president of the 2-M Company is the head of a board of directors consist ing of 9 women and 7 men. The presi dent wishes to choose a committee of 5 to study the possibility of a merger with the 4-M Company. In how many ways can this committee be chosen if it is to consist of 4 men and 1 women?

a. 42

b. 153

c. 315

d. 4368

e. 21

2. In how many ways can this committee be chosen if there are no restrictions on the gender of the members?

a. 378

b. 4368

c. 21

d. 126

e. 21474180

3. In how many ways can this committee be chosen if it is to consist of all women?

a. 42

b. 33649

c. 126

d. 4368

e. 100947

A single fair die is thrown. Find the probability that should be assigned to each of the events A, B, C, and D defined by:

4. A={odd number appears}

b.

e.

5. B = {even number appears}

b.

Assume that in a marketing study it has been found that on a fall Saturday afternoon 15% of adult men watch sports programming on net- work A from 1:OOPM to 2:OOPM, 35% watch sports programming on network C from 2:OOPM to 3:OOPM, and 4% watch on both networks. For simplicity, assume that viewers of these pro- grams are sure to see advertisements if they are watching a program.

If Chips 'n' Fish Restaurants advertise only on network C during the sports pro gramming segment, what is the probabil ity that the ad will be seen by a randomly chosen adult male? a. ^ 20 T_ b. JL 25 C. o

d. 1

e. (^2150)

7. What would be the probability if they ad vertise on both networks? a. 1 b. c.

e.

2 23 50

25

8. If they advertise on both networks, what is the probability that an ad will be seen only on network A?

(^2150)

b. 1 c. 1

a. 0.

b. 0.05.

c. 0.

d. 0.

e. 0.

John is the owner of a drive-through wildlife

preserve containing a small herd of deer con-

sisting of 9 adult bucks, 8 adult does, and 6

yearling fawns. To check the health of the herd

John will randomly select 3 animals for exami-

nation.

9. What is the probability that none are adult bucks?

c *-•

ec '

-28- 253

±2° 253

253

Jack's Lumber and Supply Company classifies

its accounts as either retail or wholesale with

32% being retail accounts. These different ac-

counts are processed by the retail arid wholesale

divisions, respectively. Clerks in the retail divi-

sion make errors in 3% of their accounts, while

those in the wholesale division make errors in

4% of their accounts.

13. If an auditor chooses an account at ran dom, what is the probability that it will be hi error

a " 2500 "• Too rC - 62517

10. What is the probability that exactly one is a yearling fawn?

a.

b.

*"^ _

eC -

816 1771 1224

Tm

1771

1771 2244 1771

Assume that 39.% of the families living in Birm-

ingham have children of element ary school age.

A mail order firm specializing in clothes for chil-

dren in this age group will randomly select fam-

ilies to receive a catalog. Consider 7 particular

families receiving catalogs.

11. What is the probability that all have an elementary school age child?

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

• 625

14. If an auditor finds a randomly chosen ac count to be in error, what is the proba bility that it is a retail account;? a. il 23 b " 625 C - & A Q - (^) 62523

e. (^) 62517

12. What is the probability that at least one has an elementary school age child?

Economics 321

Short Exam

October 2, 1992

The president of the 2-M Company is the head of a board of directors consist ing of 9 women and 7 men. The presi dent wishes to choose a committee of 5 to study the possibility of a merger with the 4-M Company. In how many ways can this committee be chosen if it is to consist of 4 men and 1 women?

a. 42

b. 153

c. 315

d. 4368

e. 21

2. In how many ways can this committee be chosen if there are no restrictions on the gender of the members?

a. 378

b. 4368

c. 21

d. 126

e. 21474180

5. B = {even number appears} -I

M < i

M e- H

Assume that in a marketing study it has been found that on a fall Saturday afternoon 15% of adult men watch sports programming on net- work A from 1:OOPM to 2:OOPM, 35% watch sports programming on network C from 2:OOPM to 3:OOPM, and 4% watch on both networks. For simplicity, assume that viewers of these pro- grams are sure to see advertisements if they are watching a program.

If Chips 'n' Fish Restaurants advertise only on network C during the sports pro gramming segment, what is the probabil ity that the ad will be seen by a randomly chosen adult male?

3. In how many ways can this committee be chosen if it is to consist of all women?

a. 42

b. 33649

c. 126

d. 4368

e. 100947

A single fair die is thrown. Find the probability that should be assigned to each of the events A, B, C, and D defined by:

4. A={odd number appears}

-I b. I

c.

d. 1

e. (^21) 50

7. What would be the probability if they ad vertise on both networks? a. 1

f§

8. If they advertise on both networks, what is the probability that an ad will be seen only on network A?

-fo-

b. 1

c. 1

e. (^25)

John is the owner of a drive-through wildlife preserve containing a small herd of deer con- sisting of 9 adult bucks, 8 adult does, and 6 yearling fawns. To check the health of the herd John will randomly select 3 animals for exami- nation.

9. What is the probability that none are adult bucks? aa ' ifli 253

'•

e c '

ft 130 253 -32- 253

What is the probability that exactly one is a yearling fawn? a. b. c.

e.

816 1771 1224 1771 1632 1771 2040 1771 7344 1771

Assume that 39.% of the families living in Birm- ingham have children of elementary school age. A mail order firm specializing in clo'thes for chil- dren in this age group will randomly select fam- ilies to receive a catalog. Consider 7 particular families receiving catalogs.

11. What is the probability that all have an elementary school age child?

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

a. 0.

b. 0.

c. 0.

d. 0.

e. 0.

Jack's Lumber and Supply Company classifies its accounts as either retail or wholesale with 32% being retail accounts. These different ac- counts are processed by the retail and wholesale divisions, respectively. Clerks in the retail divi- sion make errors in 3% of their accounts, while those in the wholesale division make errors in 4% of their accounts.

13. If an auditor chooses an account at ran dom, what is the probability that it will be in error a °" (^) -S2_ 2500

Too

J3- 625 23 625 6 625

c dQ> -22-

14. If an auditor finds a randomly chosen ac count to be in error, what is the proba bility that it is a retail account? aa ' (^1723)

b - 625 C ' 23 A a ' (^) -2J- 625

e -J-Z- 625

12. What is the probability that at least one has an elementary school age child?