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Homework answers / question archive / DeVry University, Chicago MATH 221 1)(CO 2) A random selection from a deck of cards selects one card

DeVry University, Chicago MATH 221 1)(CO 2) A random selection from a deck of cards selects one card

Math

DeVry University, Chicago

MATH 221

1)(CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting a spade?

 

0.025

 

 

0.250

 

 

0.050

 

 

0.077

 

 

2. (CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails?

 

(H,H,H)(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)

 

 

(H,H,H)(T,T,T)

 

 

(H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T)

 

 

(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)

 

 

 

3. (CO 2) Consider the table below

 

Response (number of cats owned)

Frequency

None

659

One

329

Two

52

Three

13

Four or more

8

 

What is the probability that the next person asked has no cats?

 

31%

 

 

50%

 

 

62%

 

 

5%

 

 

4. (CO 2) Consider the table below

 

Age Group

Frequency

18-29

9831

30-39

7845

40-49

6869

50-59

6323

60-69

5410

70 and over

5279

 

What is the probability that the next person chosen will be in the 50-59 or 60-69 age groups?

 

 

31.7%

 

 

42.5%

 

 

28.2%

 

 

23.7%

 

 

 

5. (CO 2) Based on the CEO’s perception, a company estimates that a new product will be purchased by 32% of current customers. This is an example of which type of probability?

 

 

Empirical probability

 

 

Classical probability

 

 

Subjective probability

 

 

Public probability

 

 

6. (CO 2) Consider the table below.

 

Age Group

Frequency

18-29

9831

30-39

7845

40-49

6869

50-59

6323

60-69

5410

70 and over

5279

 

What is the complement of P(over 60), or P(over 60’)?

 

64.6%

 

 

74.3%

 

 

71.8%

 

 

25.7%

 

 

 

7. (CO 2) You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money on the first day and lose money on the second day, and make money on the third?

 

0.216

 

 

 

0.096

 

 

0.288

 

 

0.144

 

8. (CO 2) Consider the table below.

 

 

Profit

Loss

Total

Urban location

50

38

88

Rural location

61

84

125

Total

111

132

243

 

 

Find the probability that a randomly selected location is in an urban location, given that it is operating a loss.

 

55.0%

 

 

28.8%

 

 

36.2%

 

 

48.8%

 

 

 

9. (CO 2) Consider the table below.

 

Production location

 

Defective

Total

East

258

31

289

West

572

106

678

North

755

94

849

South

491

74

565

Total

2076

305

2381

 

 

Find the probability that a randomly selected product is defective, given that it is from the South production facility.

 

13.1%

 

 

23.7%

 

 

12.8%

 

 

10.7%

 

 

 

10. (CO 2) Classify these events. Selecting a king from a deck of cards, keeping it and

selecting a queen from the same deck. These events would be considered:

 

Independent

 

 

Subjective

 

 

Dependent

 

 

 

 

Empirical

 

 

11. (CO 3) Classify these events. Some businesses have large stores and some businesses have large parking lots. These events would be considered:

 

Classical

 

 

Dependent

 

 

Subjective

 

 

Independent

 

 

 

12. (CO 2) In a survey of 320 customers, 84 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

 

6.81%

 

 

6.89%

 

 

6.83%

 

 

24.25%

 

 

 

13. (CO 2) Randomly select a customer that purchases tofu. Randomly select a customer that purchases chicken. Are these events mutually exclusive?

 

Mutually exclusive events

 

 

Non-mutually exclusive events

 

 

14. (CO 2) Two cards are selected without replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.

 

0.0588

 

 

0.0625

 

 

0.0637

 

 

0.0250

 

 

 

15. (CO 2) Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.

 

 

 

0.0588

 

 

0.0625

 

 

0.0637

 

 

0.0250

 

 

16. (CO 2) The probability of a golden retriever catching a tennis ball in mid-air is 81%. Find the probability that a golden retriever catches three tennis balls in mid-air.

 

0.5314

 

 

0.6561

 

 

0.4052

 

 

0.5119

 

17. (CO 2) A statistics class has 50 students and among those students, 35 are business majors and 7 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major and likes grilled cheese.

 

 

 

0.72

 

 

0.80

 

 

0.75

 

 

0.84

 

 

 

18. (CO 2) The probability of a team winning its next game is 48%. The probability of losing its next game would be called the:

 

 

conditional probability

 

 

Empirical rule

 

 

complement of winning

 

 

multiplication rule

 

 

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