1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
11

The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associ

ated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities: To From Running Down Running 0.70 0.30 Down 0.20 0.80 If the system is initially running, what is the probability of the system being down in the next hour of operation
Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

The probability of the system being down in the next hour of operation is 0.3.

Step-by-step explanation:

We have a transition matrix from one period to the next (one hour) that can be written as:

T=\left[\begin{array}{ccc}&R&D\\R&0.7&0.3\\D&0.2&0.8\end{array}\right]

We can represent the state that system is initially running with the vector:

S_0=\left[\begin{array}{cc}1&0\end{array}\right]

The probabilties of the states in the next period can be calculated using the matrix product of the actual state and the transition matrix:

S_1=S_0\cdot T

That is:

S_1=S_0\cdot T= \left[\begin{array}{cc}1&0\end{array}\right]\cdot \left[\begin{array}{cc}0.7&0.3\\0.2&0.8\end{array}\right]= \left[\begin{array}{cc}0.7&0.3\end{array}\right]

With the inital state as running, we have a probabilty of 0.7 that the system will be running in the next hour and a probability of 0.3 that it will be down.

You might be interested in
Can somebody help me pleasee hurry
Svetach [21]

Answer:

A

Step-by-step explanation:

Given 2 similar figures with sides in the ratio a : b

Then the ratio of their areas is a² : b²

Hence

ratio of sides = 2 : 9, then

ratio of areas = 2² : 9² = 4 : 81 → A

3 0
3 years ago
Read 2 more answers
In in 10 to the sixth power of the 10 is the what
Svetach [21]

10 to the sixth power is 1,000,000. Any number to the tenth power is the number 1 in front of the  number of zeros that is equal to the exponent.

4 0
3 years ago
Which segments are congruent? JN and LN JN and NM LN and NK NK and NM
Olin [163]

Answer:

The answer is C, LN and NK hoped I helped

6 0
3 years ago
Read 2 more answers
Find the unit rate of miles per hours of a plane that travels 3610 miles in 33.5 hours
Alik [6]
Plane would be going 107.761194. 3610 divided by 33.5 is about 107
3 0
3 years ago
Read 2 more answers
What is 140 rounded to the nearest hundredth
muminat

I mean, there is no decimal place, so you can’t determine to the nearest hundredth place.

For the hundreds place, it would round to 100, though.

7 0
3 years ago
Other questions:
  • Identify the volume and surface area of the sphere in terms of π. HELP PLEASE!!
    6·1 answer
  • A metallurgist is designing an experiment to determine the effect of flux, base metal, and energy input on the hardness of a wel
    10·1 answer
  • bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. what is
    12·2 answers
  • The equation of a circle is given below. x^{2}+(y-2.25)^{2} = \dfrac{196}{169}x 2 +(y−2.25) 2 = 169 196 ​ x, squared, plus, left
    6·2 answers
  • Please answer my fraction questions
    11·1 answer
  • Problem 4. Prove that log, 11 is irrational (15 pts) Answer:
    14·1 answer
  • Help help i need help please​
    15·1 answer
  • Is y = x + 6 and y = x + 4 parallel, perpendicular or neither
    5·1 answer
  • What is the answer this is a math question
    15·1 answer
  • The perimeter of a square is 24 inches. Complete the equation and solve to find the length of each side, s.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!