Transcript Chapter 5

Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 5:
Discrete Probability
Distributions
Elementary Statistics
Eleventh Edition
and the Triola Statistics Series
by Mario F. Triola
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 1
Use the binomial probability formula to find the
probability of x successes in n trials given the
probability p of success on a single trial.
n = 12, x = 5, p = 0.25
A. 0.103
B. 0.082
C. 0.091
D. 0.027
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 2
Use the binomial probability formula to find the
probability of x successes in n trials given the
probability p of success on a single trial.
n = 12, x = 5, p = 0.25
A. 0.103
B. 0.082
C. 0.091
D. 0.027
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 3
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Choosing 5 people (without replacement) from a group
of 34 people, of which 15 are women, keeping track of
the number of men chosen.
A. Not binomial: the trials are not independent.
B. Not binomial: there are more than two outcomes
for each trial.
C. Procedure results in a binomial distribution.
D. Not binomial: there are too many trials.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 4
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Choosing 5 people (without replacement) from a group
of 34 people, of which 15 are women, keeping track of
the number of men chosen.
A. Not binomial: the trials are not independent.
B. Not binomial: there are more than two outcomes
for each trial.
C. Procedure results in a binomial distribution.
D. Not binomial: there are too many trials.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 5
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Choosing 7 marbles from a box of 40 marbles (20
purple, 12 red, and 8 green) one at a time with
replacement, keeping track of the number of red
marbles chosen.
A. Not binomial: the trials are not independent.
B. Procedure results in a binomial distribution.
C. Not binomial: there are too many trials.
D. Not binomial: there are more than two outcomes
for each trial.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 6
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Choosing 7 marbles from a box of 40 marbles (20
purple, 12 red, and 8 green) one at a time with
replacement, keeping track of the number of red
marbles chosen.
A. Not binomial: the trials are not independent.
B. Procedure results in a binomial distribution.
C. Not binomial: there are too many trials.
D. Not binomial: there are more than two outcomes
for each trial.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 7
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Spinning a roulette wheel 3 times, keeping track of the
occurrences of a winning number of “16”.
A. Not binomial: the trials are not independent.
B. Procedure results in a binomial distribution.
C. Not binomial: there are too many trials.
D. Not binomial: there are more than two outcomes
for each trial.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 8
Determine whether the given procedure results in a
binomial distribution. If not, state the reason why.
Spinning a roulette wheel 3 times, keeping track of the
occurrences of a winning number of “16”.
A. Not binomial: the trials are not independent.
B. Procedure results in a binomial distribution.
C. Not binomial: there are too many trials.
D. Not binomial: there are more than two outcomes
for each trial.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 9
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=4, x=3, p=1/6
A. 0.012
B. 0.004
C. 0.015
D. 0.023
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 10
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=4, x=3, p=1/6
A. 0.012
B. 0.004
C. 0.015
D. 0.023
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 11
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=5, x=2, p=0.70
A. 0.198
B. 0.132
C. 0.700
D. 0.464
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 12
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=5, x=2, p=0.70
A. 0.198
B. 0.132
C. 0.700
D. 0.464
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 13
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=11, x=5, p=0.5
A. 0.293
B. 0.338
C. 0.226
D. 0.031
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 14
Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use
the binomial probability formula to find the
probability of x successes given the probability
p of success on a single trial. Round to three
decimal places.
n=11, x=5, p=0.5
A. 0.293
B. 0.338
C. 0.226
D. 0.031
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
Slide 5- 15