A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes per month). Studies have shownthat 80% of the people who were Low users one month will be Low users the nextmonth, and that 70% of the people who were High users one month will be Highusers the next month.
(a) Set up the 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions
(b) Suppose that, during the month of January, 50% of the customers were Low users. What percent of the customers will be Low users in February? In March? (Type an integer or decimal for each matrix element.)

Answers

Answer 1

1. The stochastic matrix for the given transitions is:

   [tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

2. 40.0% people in February and 32.0% people in March will be the low  users if there are 50% low users in January.

It is given that,

80% of the people who were Low users one month will be Low users the next month.

That means for the transition low-low (L-L)

p = 0.80

So, for Low-high transition (L-H)

p = 1-0.80 = 0.20

It is also given that 70% of the people who were High users one month will be High users the next month.

That means, p = 0.70 for the transition high-high (H-H)

Then for H-L transition, p = 1-0.70 = 0.30

(a) The 2x2 stochastic matrix for these transitions is:

[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

(b) Given that 50% users are the low users in month of January.

[tex]\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%[/tex]= (0.50 x 0.80)x100%

= 0.4x 100%

=40.0%

Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%

=(0.40x0.80)x100%

=0.32x100%

=32.0%

Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.

Therefore, the results are:

1.2x2 stochastic matrix for the transitions is as:

         [tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

2. The percentage of people who will be low users in the month of     February and in the month of March are 40.0% and 32.0% respectively.

Learn more about stochastic matrix here:

https://brainly.com/question/29737056

#SPJ4


Related Questions

What is the value of x?

Answers

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

Which angle is congruent to B

Answers

I think it’s angle D because it’s an alternate interior angle with angle B


If n and k are positive integers and 8” = 2*, what is the value of n/k

Answers

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?​

Answers

Answer:

2014 price was $49,091

Step-by-step explanation:

I'm assuming you want to solve for 2014 year price...

2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...

p×110%=54,000

p=54,000/1.1

p=49,090.90

HELP GIVING 25 POINTS, PLS HELP ITS SIMPLE INEQUALITIES, PLS HELP!! ADD ME ON DISCORD simen#9651 FOR MORE PROBLEMS AND A LOT MORE POINTS I HAVE LIKE 470 POINTS, PLS HELP PLS PLS PLS HELPP!!

Answers

It is c my guy please be honest and give me brainliest. Thanks

A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.

Answers

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

20 baseballs pitched he hit 17. What %did TJ hit

Answers

Percent part
100 Whole

x 17
100 20

(100*17)/20
1700/20
=85 percent

hey,need the answer.Have a nice Easter ❤️❤️

Answers

Answer:

(B)-4

Step-by-step explanation:

Hey happy Easter how’s your day

In the figure shown, the measures of all angles are equal, and AB = EF.

What type of transformation appears to map ABC onto EFG?

A. reflection
B. translation
C. rotation
D. none of the above

Answers

Answer:

your answer will be C. rotation

Step-by-step explanation:

hope it helps...

have a great day!

The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

What is ASA congruency?

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.

For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).

Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.

Learn more about rotation of triangles here:

https://brainly.com/question/11709244

The perimeter of the shape below is 44 feet. What is the area in square feet?

Answers

Answer:

2(4x+2+6x)=44

10x+2=22

10x=20

x=2

area= 10*12=120sq feet

Step-by-step explanation:

HURRYYYYYYYYY


What is the domain of the function y=x?
-00 0 0 0 1

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut

Answers

Answer:

you have the highest chance of getting peanuts

what is 15% of 22 help​

Answers

15%= .15

.15*22= 3.3

Answer: 3.30

Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°

Answers

Answer:

Y = 27.8°

Step-by-step explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

Answer:

does any body have c?

Step-by-step explanation:

An icosahedron has twelve faces, the most of any Platonic solid.

Answers

Answer:

Step-by-step explanation:

True

The following is the estimation results for a multiple linear regression model:
Y = B. + ,X,+B,X, +E
SUMMARY OUTPUT
Regression Statistics
R-Square 0.558
Regression Standard Error (S) 863.100
Observations 35
Coeff StdError t-stat
Intercept 1283.000 352.000 3.65
X1 25.228 8.631
X2 0.861 0.372
Questions:
1. Write the fitted regression equation (30 points).
2. Write the estimated intercepts and slopes, associated with their corresponding standard errors (30 points).
3. Interpret each coefficient (40 points).

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the summary output :

_______ Coeff___ StdError__ t-stat

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.631

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

Hi please help me with this asap.​

Answers

a. 15% of $20000 is 15/100x20000 = $3000. You therefore get $3000 off the $20000 asking price. $17000

b. VAT is 10%. 10/100x17000 = $1700
You therefore add $1700 to the discounted price of $17000. $18700

c. 15% off the discounted price. 15/100 x17000 = $2550. New discounted price is $17000-2550= $14450.

d. 10% VAT of $14450 is 10/100x$14450 = $1445. Total price after all discounts and VAT is now $14450+$1445 = $15895

The ———— is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.

--Select-
Behavior Test
t Answ Polynomial Test
Odd Degree Test
Horizontal Line Test
Leading Coefficient Test
Dints] Distinct Zero Test
Even Degree Test
Vertical Line Test
AT10 3.2.001.

Answers

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in​ bonds

Answers

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )

Answers

Answer:

sin D

Step-by-step explanation:

i think

or cos D

Answer:

24/25=sin F

Cos D = 24/25

Step-by-step explanation:

ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please

Answers

Step-by-step explanation:

The lateral area is

[tex]42\pi[/tex]

The surface area is

[tex]60\pi[/tex]

The volume is

[tex]63\pi[/tex]

Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need​

Answers

Answer:

128cm²

Step-by-step explanation:

To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.

Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)

                      = 128cm²

3. A pharmacist needs a blend of chemical containing 35% of manganese but she has one vial
at 40% and another at 25%. How many of each must be mixed to provide 100 pounds of
35% manganese?

Answers

Mi hermano me dice que no tengo nada que ver con el que no me deja

I need help the area of the triangle is 24 square feet. Hat is the lengths of the base

Answers

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

Answers

Answer:

P(A or B) = 0.75

Step-by-step explanation:

For Venn probabilities, we have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

We have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]

P(A or B) = 0.75

Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)​

Answers

Step-by-step explanation:

7(3) - 3(4) > 10

21 - 12 > 10

9 > 10

0 > -1

The solution for the inequality is not in the given options.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 7x – 3y > 10

Seven x minus three times of y greater than ten

Now let us consider all the options to find the ordered pair of inequality.

When we substitute x and y value it should be greater than 10.

(1,2)

7(1)-3(2)>10

7-6>10

1>10 NO

(1,0)

7(1)-3(0)>10

7>10 NO

(3,4)

7(3)-3(4)>10

21-12>10

9>10 NO

(1,-1)

7(1)-3(-1)>10

7+3>10

10>10 NO

Hence the solution for the inequality is not in the given options.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

I know I just fill in -1 with x but I’m stuck with 2 different answers and this is an exam sooooo I don’t wanna risk it. Can someone please tell me the answer?

Answers

Answer:

g(-1) = 4

Step-by-step explanation:

Given:

g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]

To find g(-1), substitute x = -1

Thus:

g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]

g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{12}{3} [/tex]

g(-1) = 4

What is the value of y?

Answers

Answer:

-1

Step-by-step explanation:

Hi please help me with these questions asap.​

Answers

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]

Simplify the radical

Answers

Answer:

4

Step-by-step explanation:

4 to the 4th power is 256

Other Questions
How did improvements in farming lead to the growth of civilization what aretwo of those improvements and how did they affect growth If 5.0 g of copper metal reacts with a solution of silver nitrate, how many grams of silver metal are recovered?Cu + Ag(NO3)2=Cu(NO3)2 + Ag Please showcase your problem solving abilities by answering the following:Detective Schaunke gathered up Alex, Taylor, and Peyton yesterday, because one of them was suspected of having stolen Charlie's bicycle. The trio of suspects made the following statements during questioning: Alex: I'm innocent. Taylor: I'm innocent. Peyton: Taylor stole the bike. If only one of these statements is true, who stole the bike? How do you know? It is the assumption of staff at NSA that 96% of students will graduate on time. Last year 150 out of 154 students graduated on time. What is the p-value and z-score of the graduation rate at NSA? a. p = .625, z = .73 b. p = .73, z = .625 c. p = .96, z = 1.976 d. p = 1.10, z =0.986Is the staff at NSA correct in assuming that 96% of NSA students will graduate on time? Yes No Need ASAP GIVING BRAINLIST Do you see a social structure in your school, place of worship, community. etc.? Cite examples and evidence that support your theory that a social structure exists in this environment. Please help it's for 100 pointsDescribe a time that you, or someone you know, attended a large celebration of some kind. Why was that event significant? |x +2], if x>-1Plz help Read this and answer the question Describe the purpose of a cell membrane? -Get information based on this ! Help plz :(:(;((:(((:( 32. Peter must decide if he should add one more dog to his dog-walking business. What is this decision anexample of?a. efficiencyb. thinking at the marginc. scarcityd. using human capital Theo purchased an are rug for his dorm room. The dimensions of the rug are 8 feet by 9 feet. What is the area of Theo's rug? what is the answer to this fraction 4/8+2/8+4/8 Can some one awnser the following The Big Four included the leaders of the. Single choice.(1 Point)Allied PowersCentral PowersLeague of NationsTriple Alliance I NEED HELP WITH THIS Some people were asked how long it takes them to commute to work.Find the range number of minutes. What are the advantages of using renewable energy resources ? Give at least 2 reasons What are factors within a region that affect or limit the physical environment? In the diagram, chords LM and NP are parallel and the measure of angle M = 68.Determine the value of x. I dont Know what to put hereBut Anwer Pls At the equator, what kind of pressure will you most likely find?