Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.

Answers

Answer 1

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.


Related Questions

Simplify the expression. 16m - 3/5 + 4m - 2 2/5 + 4

A 20m-3

B 20m+1

C 12m+1

D 12m-3

Answers

Answer:

it is either B or C

Step-by-step explanation:

Combine Like Terms

Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.

How many shells does Zoe give to Dev?

Answers

Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

Step-by-step explanation:

Might not be correct but I try to explain in my best ways(: question not from safari! let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

don’t understand how to do this

Answers

Answer:

C

Step-by-step explanation:

I don’t either hahahqhqhahahahahqhqhqhqhqh

How many significant figures are in 0.0624000?

Answers

Answer:

Use notes and youll get an answer

Step-by-step explanation:

What is the solution to 1/2|x|=-3?

A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist

Answers

Answer:

The answer is D: No solutions exist

please help quickly pls D:

Answers

the fourth one best summarizes the passage

what number lies in between 18 and 24

Answers

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle

Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?

Answers

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

What are all possible values of x? (This is not a right triangle!)

Answers

Answer:

solution set for x = { 4,5,6}

Answer:

2<x<12

Step-by-step explanation:

Firstly, look at this formula-

a-b<x<a+b

If we make 7, A, and 5, B, then the formula would be 7-5<x<7+5

So after you do the math it would be 2<x<12

Hence, the answer is 2<x<12

BTW if the answer is correct then can you please mark me brainlyest?

I'm only 9 years old

Thanks!

the price p of an aluminum tube is jointly proportional to its radius r and the length l. if a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius?

Answers

Answer:

4725 pesos

Step-by-step explanation:

The price p of an aluminum tube is jointly proportional to its radius r and the length l.

For joint variation, we have the expression:

p ∝rl

Hence

p = krl

Step 1

Solving for k

if a 12-foot pipe with 5-inch radius costs 5250 pesos,

5250 = k × 12 × 5

5250 = 60k

k = 5250/60

k = 87.5

Step 2

how much will be the cost of a 9-foot pipe with a 6-inch radius

We make use of the expression:

p = krl

p = 87.5 × 9 × 6

p = 4725 pesos

Therefore, the cost is = 4725 pesos

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?

Answers

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

Someone help! What is 4 1/4-5/6?

Answers

Answer:

3 5/12

Step-by-step explanation:

Answer:

3 5/12

Step-by-step explanation:

4 1/4-5/6

Get a common denominator of 12

4 1/4 *3/3 - 5/6 *2/2

4 3/12 - 10/12

Borrow from the 4

3 + 12/12 + 3/12 - 10 /12

3 15/12 - 10/12

3 5/12

Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5). a. 22 b. 15 c. 16 d. 30 Please select the best answer from the choices provided A B C D

Answers

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

2.5x + 1 = 26 help hurryyyyyyyyy!!!!?!?!??!?!?!

Answers

Answer:

2.5x=26-1

x=25/2.5

x=10

Step-by-step explanation:

Answer:

I assume you're solving for x, so the answer is 10

Step-by-step explanation:

First you isolate the x, so you need to subtract one from both sides, which results in the equation 2.5x = 25, and then you divide 25 by 2.5, which gives you x = 10

HELP ME OUT PLEASEEEEEEEEEEEe

Answers

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x

Answers

Answer:

GCF = 16

Step-by-step explanation:

All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.

Answer:

GCF = 16

Step-by-step explanation:

64/16 = 4

16/16 = 1

80/16 = 5

All of the terms in the polynomial are able to be divided by 16 the GCF.

Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.

Answers

Answer:

6.5 feet

Step-by-step explanation:

The guy above me is correct its 6.5 feet

at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost​

Answers

Answer:

0.20

Step-by-step explanation:

A.

B.

C.

D.

Choose the one that would not fall on this line

Answers

The answer is B (2, 1)

Explanation:

The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.

HELP PLZ I LOVE YOU GUY LET GOOOOO

Answers

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3

Answers

Answer:

69

Step-by-step explanation:

69

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

pls help me solve this question

Answers

Answer:

1 . x 3 +  3 x 2 y  +  3 x y 2  +  y 3

2. x 3 -  3 x 2  y  +  3 x y 2  -  y 3

3. a + b

4 . a - b

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

find the value of x HELP PLS

Answers

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

Calculate the marked price (original price) if

a. After 25% discount, the price of an article is Rs 7500,


please with explanation and calculation the answer should be Rs 10 000

Answers

To get the original price we are going to;

1) Subtract the discount percentage from 100 to get the original price percentage.

100 - 25 = 75 %

2) Now we are going to multiply the discounted price by 100.

7500 x 100 = 750,000

3) Now we are going to divide the discounted price by the original price percentage.

750,000 / 75 = 10,000

Therefore the original price is Rs 10,000
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