A bucket contains 3 red balls and 2 blue balls. Two balls are drawn simultaneously and at random. What is the probability that one ball is blue, given that at least one ball is red? a) 1/3 b) 23 c) 25 d) 35 e) none of the others
A bucket contains 3 red balls and 2 blue balls. Two balls are drawn simultaneously and at random. What is the probability that one ball is blue, given that at least one ball is red? a) 1/3 b) 23 c) 25 d) 35 e) none of the others
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer #25 and explain your reasoning!
![| 14 3/4"
L 118 7/8
be the transition matrix for a regular Markov chain. Find w2, the second
20 Let P=
coordinate of the stable vector for this Markov chain.
a) 67
b) 17
c) 18
d) 7/8
e) none of the others
21. Let E, F, and G be events in a sample space S and suppose Pr[E] = Pr[F] = Pr[G] = .5,
PrEOFOG] = PHE'OFOG]= PHE nF n Gʻ) = 2, and Pr[EnFnG]=.1. What is
a) 2 b) 1
c) not enough information d) 3 e) none of the others
22 Sam's Sub Shoppe uses a linear relationship, based on length, to determine the selling price
of a sub sandwich. If a 5 inch sub sells for $3.50 and an 8 inch sub sells for $5.30, what is the
price of a two-foot sub?
a) $15.90
b) $16.90
e) $19.95
d) $14.90
e) none of the others
23 The SKI-HI Junk Bond Company classifies each week's sales volume as high (H) or very
high (V). Data indicates that the week-to-week changes in volume follow the pattern of a
Markov chain with states H and V and the transition probabilities are as follows:
Transition Probability
H→H
3
H+ V
.7
V+H
5
V → V
If the current week's volume is high (H), what is the probability that it will be very high (V) 3
weeks from now?
a) 56
b) 588
c) 4
d) 412
e) none of the others
24. A company buys 9 computers, and it plans to connect each pair of computers by a cable (one
cable per pair). How many cables are needed?
a) 18
b) 72
c) 9!
d) 36
e) none of the others
25. A bucket contains 3 red balls and 2 blue balls. Two balls are drawn simultaneously and at
random. What is the probability that one ball is blue, given that at least one ball is red?
a) 13
b) 23
c) 25
d) 35
e) none of the others](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae61d4f1-832a-4ede-b1d3-06ef4889bc0e%2F424686de-b6c8-4514-80d5-212f10e1efb5%2Fbkpm4cd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:| 14 3/4"
L 118 7/8
be the transition matrix for a regular Markov chain. Find w2, the second
20 Let P=
coordinate of the stable vector for this Markov chain.
a) 67
b) 17
c) 18
d) 7/8
e) none of the others
21. Let E, F, and G be events in a sample space S and suppose Pr[E] = Pr[F] = Pr[G] = .5,
PrEOFOG] = PHE'OFOG]= PHE nF n Gʻ) = 2, and Pr[EnFnG]=.1. What is
a) 2 b) 1
c) not enough information d) 3 e) none of the others
22 Sam's Sub Shoppe uses a linear relationship, based on length, to determine the selling price
of a sub sandwich. If a 5 inch sub sells for $3.50 and an 8 inch sub sells for $5.30, what is the
price of a two-foot sub?
a) $15.90
b) $16.90
e) $19.95
d) $14.90
e) none of the others
23 The SKI-HI Junk Bond Company classifies each week's sales volume as high (H) or very
high (V). Data indicates that the week-to-week changes in volume follow the pattern of a
Markov chain with states H and V and the transition probabilities are as follows:
Transition Probability
H→H
3
H+ V
.7
V+H
5
V → V
If the current week's volume is high (H), what is the probability that it will be very high (V) 3
weeks from now?
a) 56
b) 588
c) 4
d) 412
e) none of the others
24. A company buys 9 computers, and it plans to connect each pair of computers by a cable (one
cable per pair). How many cables are needed?
a) 18
b) 72
c) 9!
d) 36
e) none of the others
25. A bucket contains 3 red balls and 2 blue balls. Two balls are drawn simultaneously and at
random. What is the probability that one ball is blue, given that at least one ball is red?
a) 13
b) 23
c) 25
d) 35
e) none of the others
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
