A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Please answer #21 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](https://content.bartleby.com/qna-images/question/ae61d4f1-832a-4ede-b1d3-06ef4889bc0e/df46fb8e-755a-481b-9512-a330f6f86571/imoi8lw_processed.jpeg)
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
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