Slide 6 - 1

Active Learning Questions

Copyright © 2009 Pearson Education, Inc.

For use with classroom response systems

Chapter 6 Probability in Statistics

Slide 6 - 2

An event is considered “significant” if its probability is less than or equal to 0.05.

a. Yes b. No

Is it significant to be dealt an ace when you are dealt one card from a standard 52-card deck? (There are four aces in the deck.)

Slide 6 - 3

An event is considered “significant” if its probability is less than or equal to 0.05.

a. Yes b. No

Is it significant to be dealt an ace when you are dealt one card from a standard 52-card deck? (There are four aces in the deck.)

Slide 6 - 4

An event is considered “significant” if its probability is less than or equal to 0.05.

a. Yes b. No

Muhammad Ali’s professional boxing record included 56 wins and 5 losses. If one match is selected at random, would it be considered significant if the match selected were a loss?

Slide 6 - 5

An event is considered “significant” if its probability is less than or equal to 0.05.

a. Yes b. No

Muhammad Ali’s professional boxing record included 56 wins and 5 losses. If one match is selected at random, would it be considered significant if the match selected were a loss?

Slide 6 - 6

The advertising for a cold remedy claimed that no other cold remedy acted faster. In an experiment to compare that remedy with another one, it did act faster on average, but the result was not significant. What does this mean?

a. The difference was so small that it could have happened by chance even if the remedies were equivalent.

b. The difference was so small that it could have happened by chance even if the remedies were not equivalent.

c. The probability of the observed difference occurring by chance if the two remedies are equivalent was less than 0.05.

d. The population mean response times are different, but the samples didn’t show it.

Slide 6 - 7

The advertising for a cold remedy claimed that no other cold remedy acted faster. In an experiment to compare that remedy with another one, it did act faster on average, but the result was not significant. What does this mean?

a. The difference was so small that it could have happened by chance even if the remedies were equivalent.

b. The difference was so small that it could have happened by chance even if the remedies were not equivalent.

c. The probability of the observed difference occurring by chance if the two remedies are equivalent was less than 0.05.

d. The population mean response times are different, but the samples didn’t show it.

Slide 6 - 8

A coin is tossed three times and HHT (heads, heads, tails) is observed. Is this result an outcome or an event?

a. Outcome b. Event

Slide 6 - 9

A coin is tossed three times and HHT (heads, heads, tails) is observed. Is this result an outcome or an event?

a. Outcome b. Event

Slide 6 - 10

Five electronic switches are tested at random from a day’s production and one is found to be defective. Is this observation an outcome or an event?

a. Outcome b. Event

Slide 6 - 11

Five electronic switches are tested at random from a day’s production and one is found to be defective. Is this observation an outcome or an event?

a. Outcome b. Event

Slide 6 - 12

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. What is the probability of getting at least one head and at least one tail?

a.

c.6

80.75

2

80.25

b.

d.

1

20.50

2

30.6

Slide 6 - 13

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. What is the probability of getting at least one head and at least one tail?

a.

c.6

80.75

2

80.25

b.

d.

1

20.50

2

30.6

Slide 6 - 14

From four men and two women, a committee is formed by drawing three names out of a hat. What is the probability that all three names drawn are those of men?

a.

c.3

200.15

4

200.2

b.

d.

3

60.50

4

250.16

Slide 6 - 15

From four men and two women, a committee is formed by drawing three names out of a hat. What is the probability that all three names drawn are those of men?

a.

c.3

200.15

4

200.2

b.

d.

3

60.50

4

250.16

Slide 6 - 16

A sample space has 5000 equally likely possible outcomes, what is the probability of each one?

a.

c.5000

50001

1

50000.0002

b.

d.

2500

50000.50

1

10000.001

Slide 6 - 17

A sample space has 5000 equally likely possible outcomes, what is the probability of each one?

a.

c.5000

50001

1

50000.0002

b.

d.

2500

50000.50

1

10000.001

Slide 6 - 18

A bag of marbles holds 5 red marbles, 6 green marbles and 14 blue marbles. IF one marble is drawn out, what is the probability that it is green?

a.

c.6

200.3

14

250.56

b.

d.

6

250.24

5

250.2

Slide 6 - 19

A bag of marbles holds 5 red marbles, 6 green marbles and 14 blue marbles. IF one marble is drawn out, what is the probability that it is green?

a.

c.6

200.3

14

250.56

b.

d.

6

250.24

5

250.2

Slide 6 - 20

A quarterback completes 67% of his passes, what is the probability that he will not complete his next pass?

a.

c. 0.760.23

b.

d.

0.330.67

Slide 6 - 21

A quarterback completes 67% of his passes, what is the probability that he will not complete his next pass?

a.

c. 0.760.23

b.

d.

0.330.67

Slide 6 - 22

Use the table to answer the question. If one person is selected to win a door prize, what is the probability he/she is not Danish?

a.

c.205

2420.847

37

2420.153

Nationality Frequency

English 42

Norwegian 73

Danish 37

German 26

French 13

Italian 51

b.

d.169

2420.698

73

2420.302

Slide 6 - 23

Use the table to answer the question. If one person is selected to win a door prize, what is the probability he/she is not Danish?

a.

c.205

2420.847

37

2420.153

Nationality Frequency

English 42

Norwegian 73

Danish 37

German 26

French 13

Italian 51

b.

d.169

2420.698

73

2420.302

Slide 6 - 24

In 2007, Ben Sheets’ record as a pitcher for the Milwaukee Brewers was 12 wins and 5 losses. In those 17 games he gave up the following number of hits: 2, 4, 8, 6, 4, 5, 4, 11, 7, 8, 6, 5, 6, 8, 6, 6, 6. Given that Ben Sheets wins or loses a game, estimate the probability that he gives up fewer than 6 hits.

a.

c.6

120.5

6

170.353 b.

d. can’t determine

11

170.647

Slide 6 - 25

In 2007, Ben Sheets’ record as a pitcher for the Milwaukee Brewers was 12 wins and 5 losses. In those 17 games he gave up the following number of hits: 2, 4, 8, 6, 4, 5, 4, 11, 7, 8, 6, 5, 6, 8, 6, 6, 6. Given that Ben Sheets wins or loses a game, estimate the probability that he gives up fewer than 6 hits.

a.

c.6

120.5

6

170.353 b.

d. can’t determine

11

170.647

Slide 6 - 26

A loaded die has the given probabilities. If you roll this die 630 times, how many times should you expect to see the number 3?

a.

c.3

21630 90

1

21630 30

Number Probability

1 1/21

2 2/21

3 3/21

4 4/21

5 5/21

6 6/21

b.

d.4

21630 120

2

21630 60

Slide 6 - 27

A loaded die has the given probabilities. If you roll this die 630 times, how many times should you expect to see the number 3?

a.

c.3

21630 90

1

21630 30

Number Probability

1 1/21

2 2/21

3 3/21

4 4/21

5 5/21

6 6/21

b.

d.4

21630 120

2

21630 60

Slide 6 - 28

Suppose you pay $2 to roll the die and win $6 if it comes up a 1 or 6, but nothing otherwise. What is your expected value?

a. $0

c. $2

Number Probability

1 1/21

2 2/21

3 3/21

4 4/21

5 5/21

6 6/21

b. $0.67

d. $6

Slide 6 - 29

Suppose you pay $2 to roll the die and win $6 if it comes up a 1 or 6, but nothing otherwise. What is your expected value?

a. $0

c. $2

Number Probability

1 1/21

2 2/21

3 3/21

4 4/21

5 5/21

6 6/21

b. $0.67

d. $6

Slide 6 - 30

In 2003, the U. S. death rate was 1.2 per 100,000 people due to motorcycle accidents. Motorcycles in the U. S. were involved in fatal crashes are the rate of 35.0 per 100 million miles drive. If the population of the U. S. is 300,000,000, what is the expected number of deaths due to motorcycle accidents?

a. 1200

c. 3500

b. 2400

d. 3600

Slide 6 - 31

In 2003, the U. S. death rate was 1.2 per 100,000 people due to motorcycle accidents. Motorcycles in the U. S. were involved in fatal crashes are the rate of 35.0 per 100 million miles drive. If the population of the U. S. is 300,000,000, what is the expected number of deaths due to motorcycle accidents?

a. 1200

c. 3500

b. 2400

d. 3600

Slide 6 - 32

Use the table to find what age a female of age 60 may expect to live on the average.

a. 91.91

c. 75.45

b. 83.21

d. 85.45

Exact age Female

P(Death within one year)

Number of Living

Life Expectancy

50 0.003240 95,378 31.91

60 0.007740 90,847 23.21

70 0.008938 80,583 15.45

Slide 6 - 33

Use the table to find what age a female of age 60 may expect to live on the average.

a. 91.91

c. 75.45

b. 83.21

d. 85.45

Exact age Female

P(Death within one year)

Number of Living

Life Expectancy

50 0.003240 95,378 31.91

60 0.007740 90,847 23.21

70 0.008938 80,583 15.45

Slide 6 - 34

Use the table to find how many 60-year old females on average will be living at age 61.

a. 90,847

c. 90,144

b. 80,583

d. 90,062

Exact age Female

P(Death within one year)

Number of Living

Life Expectancy

50 0.003240 95,378 31.91

60 0.007740 90,847 23.21

70 0.008938 80,583 15.45

Slide 6 - 35

Use the table to find how many 60-year old females on average will be living at age 61.

a. 90,847

c. 90,144

b. 80,583

d. 90,062

Exact age Female

P(Death within one year)

Number of Living

Life Expectancy

50 0.003240 95,378 31.91

60 0.007740 90,847 23.21

70 0.008938 80,583 15.45