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Dmitrij [34]
3 years ago
7

I need help on this question

Mathematics
1 answer:
tester [92]3 years ago
8 0
A i guess i just need points
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A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If i
11111nata11111 [884]

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

8 0
3 years ago
Can someone help me with this please
NikAS [45]

Answer:

is there a document

Step-by-step explanation:

I need something to draw it on thanks

3 0
2 years ago
A mapping statement is a way of describing a _____ of a figure
mash [69]
The answer is D transformation. 
7 0
3 years ago
What what is the mean of the cars
tatuchka [14]
Mean is the average. to find mean, you add all the numbers and divide it by how many numbers there are.

68 + 75 + 85 + 80 + 75 + 82 = 465

There are 6 numbers. That means you have to divide 465 by 6 to get the mean.

Divide:

465 / 6 = 77.5

The answer is D. 77.5

Hope this helped☺☺

8 0
3 years ago
Read 2 more answers
The Georgia state constitution contains a bill of rights .which of these is Most likely the best entry in this section of Georgi
Pavlova-9 [17]

That would be the freedom of speech and the freedom of the press.

Both of these are without a doubt a center of political to the political system existing in the United States. They state that both the freedom of speech and the press is to be expressed freely. These rights are the key to the political discourse as they allow an honest conversation and exchange of opinion that is of paramount importance in democracy. People are free to express their opinions and through the press they gain the necessary information to make educated decisions about the burning political questions.

Hope this helps!

6 0
3 years ago
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