M1 Final Exam
MATH M118 Full name ________________________
Exam 3
Please do each of the following problems. Choose the correct answer. Put all of your answers on the cover sheet. You may not use a calculator, cell phone, headphones, etc.
Also, do NOT try to find answers on another student’s test.
1. Let A and B be the matrices below. What is the (2, 1) entry of AB?
a.
b. −1
c. 2
d. 5
e. −15
f. 19
g. 20
h. 27
i. 50
j. 69
k. 74
l. None of the above
2. Stefan receives a $3000 check. He spends some of this money on ginger snaps and the rest of it on Cincinnati Reds tickets. It is known that ginger snaps cost $4 per box and Reds tickets cost $30 per ticket. Also known is that the number of boxes of ginger snaps …show more content…
j.
k.
l. None of the above
10. A squirrel can be found in any of 4 states—Alabama(1), Colorado (2), Delaware (3), and Exhaustion (4). It is known that this is a Markov process with the transition matrix given below. On the first observation, the squirrel is in Delaware. What is the probability that it is in the state of Exhaustion on the next two observations?
a.
b. 0.80
c. 0.03
d. 0.04
e. 0.08
f. 0.09
g. 0.16
h. 0.17
i. 0.20
j. 0.35
k. None of the above
11. A squirrel can be found in any of 4 states—Alabama(1), Colorado (2), Delaware (3), and Exhaustion (4). It is known that this is a Markov process with the transition matrix given below. On the first observation, the squirrel is twice as likely to be in Alabama as to be in Delaware, just as likely to be in Delaware as in Colorado, and is not in the state of Exhaustion.
What is the probability that the squirrel is in the state of Exhaustion on the next observation?
a.
b. 0.1400
c. 0.1775
d. 0.2000
e. 0.2060
f. 0.2080
g. 0.2225
h. 0.2500
i. 0.2600
j. 0.2750
k. 0.2800
l. 0.3200
m. Don’t pick me
n. 0.3260
o. 0.4000
p. None of the above
12. Below are three matrices. Which of these are regular
Exam 3
Please do each of the following problems. Choose the correct answer. Put all of your answers on the cover sheet. You may not use a calculator, cell phone, headphones, etc.
Also, do NOT try to find answers on another student’s test.
1. Let A and B be the matrices below. What is the (2, 1) entry of AB?
a.
b. −1
c. 2
d. 5
e. −15
f. 19
g. 20
h. 27
i. 50
j. 69
k. 74
l. None of the above
2. Stefan receives a $3000 check. He spends some of this money on ginger snaps and the rest of it on Cincinnati Reds tickets. It is known that ginger snaps cost $4 per box and Reds tickets cost $30 per ticket. Also known is that the number of boxes of ginger snaps …show more content…
j.
k.
l. None of the above
10. A squirrel can be found in any of 4 states—Alabama(1), Colorado (2), Delaware (3), and Exhaustion (4). It is known that this is a Markov process with the transition matrix given below. On the first observation, the squirrel is in Delaware. What is the probability that it is in the state of Exhaustion on the next two observations?
a.
b. 0.80
c. 0.03
d. 0.04
e. 0.08
f. 0.09
g. 0.16
h. 0.17
i. 0.20
j. 0.35
k. None of the above
11. A squirrel can be found in any of 4 states—Alabama(1), Colorado (2), Delaware (3), and Exhaustion (4). It is known that this is a Markov process with the transition matrix given below. On the first observation, the squirrel is twice as likely to be in Alabama as to be in Delaware, just as likely to be in Delaware as in Colorado, and is not in the state of Exhaustion.
What is the probability that the squirrel is in the state of Exhaustion on the next observation?
a.
b. 0.1400
c. 0.1775
d. 0.2000
e. 0.2060
f. 0.2080
g. 0.2225
h. 0.2500
i. 0.2600
j. 0.2750
k. 0.2800
l. 0.3200
m. Don’t pick me
n. 0.3260
o. 0.4000
p. None of the above
12. Below are three matrices. Which of these are regular