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Active Learning Lecture Slides

For use with Classroom Response Systems

Chapter 4: Discrete Probability Distributions

Elementary Statistics:

Picturing the World

Fourth Edition by Larson and Farber

Slide 4- 1

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

True or false: The number of kittens in a litter is an example of a discrete random variable.

A. True B. False

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 2

True or false: The number of kittens in a litter is an example of a discrete random variable.

A. True B. False

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 3

Determine the probability distribution’s missing probability value.

x

P

(

x

)

0

0.25

1

0.30

2

?

3

0.10

A. 0.25

B. 0.65

C. 0.15

D. 0.35

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 4

Determine the probability distribution’s missing probability value.

x

P

(

x

)

0

0.25

1

0.30

2

?

3

0.10

A. 0.25

B. 0.65

C. 0.15

D. 0.35

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 5

x represents the number of televisions in a household:

x

P

(

x

)

0

0.05

1

0.20

2

0.45

3

0.30

Find the mean.

A. 2 B. 1.5

C. 6 D. 0.25

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 6

x represents the number of televisions in a household:

x

P

(

x

)

0

0.05

1

0.20

2

0.45

3

0.30

Find the mean.

A. 2 B. 1.5

C. 6 D. 0.25

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 7

x represents the number of televisions in a household:

x

P

(

x

)

0

0.05

1

0.20

2

0.45

3

0.30

Find the standard deviation.

A. 1.29

B. 0.837

C. 0.146

D. 1.12

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 8

x represents the number of televisions in a household:

x

P

(

x

)

0

0.05

1

0.20

2

0.45

3

0.30

Find the standard deviation.

A. 1.29

B. 0.837

C. 0.146

D. 1.12

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 9

Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the probability exactly 5 of the marriages will end in divorce.

A. 0.160

B. 0.015

C. 0.039

D. 0.333

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 10

Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the probability exactly 5 of the marriages will end in divorce.

A. 0.160

B. 0.015

C. 0.039

D. 0.333

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 11

Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean number of marriages that will end in divorce.

A. 2.15

B. 8.55

C. 6.45

D. 2.85

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 12

Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean number of marriages that will end in divorce.

A. 2.15

B. 8.55

C. 6.45

D. 2.85

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 13

A fair die is rolled until a 2 appears. Find the probability that the first 2 appears on the fifth roll of the die.

A. 0.482

B. 0.067

C. 0.0006

D. 0.080

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 14

A fair die is rolled until a 2 appears. Find the probability that the first 2 appears on the fifth roll of the die.

A. 0.482

B. 0.067

C. 0.0006

D. 0.080

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 15

The mean number of customers arriving at a bank during a 15-minute period is 10. Find the probability that exactly 8 customers will arrive at the bank during a 15-minute period.

A. 0.0194

B. 0.1126

C. 0.0003

D. 0.0390

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 16

The mean number of customers arriving at a bank during a 15-minute period is 10. Find the probability that exactly 8 customers will arrive at the bank during a 15-minute period.

A. 0.0194

B. 0.1126

C. 0.0003

D. 0.0390

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

Slide 4- 17